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_
__classcall__() (sage.categories.category.Category static method)
(sage.categories.category_with_axiom.CategoryWithAxiom static method)
__classget__() (sage.categories.category_with_axiom.CategoryWithAxiom static method)
__init__() (sage.categories.category.Category method)
(sage.categories.category_with_axiom.CategoryWithAxiom method)
_all_super_categories() (sage.categories.category.Category method)
_all_super_categories_proper() (sage.categories.category.Category method)
_make_named_class() (sage.categories.category.Category method)
(sage.categories.category.CategoryWithParameters.Category method)
_repr_() (sage.categories.category.Category method)
(sage.categories.category.JoinCategory.Category method)
_repr_object_names() (sage.categories.category.Category method)
(sage.categories.category.JoinCategory.Category method)
(sage.categories.category_with_axiom.CategoryWithAxiom method)
_repr_object_names_static() (sage.categories.category_with_axiom.CategoryWithAxiom static method)
_set_of_super_categories() (sage.categories.category.Category method)
_sort() (sage.categories.category.Category static method)
_sort_uniq() (sage.categories.category.Category static method)
_super_categories() (sage.categories.category.Category method)
_super_categories_for_classes() (sage.categories.category.Category method)
_test_category() (sage.categories.category.Category method)
_test_category_with_axiom() (sage.categories.category_with_axiom.CategoryWithAxiom method)
_with_axiom() (sage.categories.category.Category method)
_with_axiom_as_tuple() (sage.categories.category.Category method)
_without_axioms() (sage.categories.category.Category method)
(sage.categories.category.JoinCategory.Category method)
(sage.categories.category_with_axiom.CategoryWithAxiom method)
A
a_realization() (sage.categories.examples.with_realizations.SubsetAlgebra method)
(sage.categories.sets_cat.Sets.WithRealizations.ParentMethods method)
AbelianCategory (class in sage.categories.category_types)
AbelianLieAlgebra (class in sage.categories.examples.finite_dimensional_lie_algebras_with_basis)
(class in sage.categories.examples.lie_algebras_with_basis)
AbelianLieAlgebra.Element (class in sage.categories.examples.finite_dimensional_lie_algebras_with_basis)
(class in sage.categories.examples.lie_algebras_with_basis)
abs() (sage.categories.metric_spaces.MetricSpaces.ElementMethods method)
absolute_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
absolute_le() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
absolute_length() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
absolute_order_ideal() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.Irreducible.ParentMethods method)
absolute_poset() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.Irreducible.ParentMethods method)
act() (sage.categories.action.Action method)
Action (class in sage.categories.action)
ActionEndomorphism (class in sage.categories.action)
actor() (sage.categories.action.Action method)
adams_operator() (sage.categories.bialgebras_with_basis.BialgebrasWithBasis.ElementMethods method)
add() (sage.categories.category_cy_helper.AxiomContainer method)
addition_table() (sage.categories.additive_magmas.AdditiveMagmas.ParentMethods method)
additional_structure() (sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital method)
(sage.categories.affine_weyl_groups.AffineWeylGroups method)
(sage.categories.bialgebras.Bialgebras method)
(sage.categories.bimodules.Bimodules method)
(sage.categories.category.Category method)
(sage.categories.category.JoinCategory method)
(sage.categories.category_with_axiom.CategoryWithAxiom method)
(sage.categories.classical_crystals.ClassicalCrystals method)
(sage.categories.complex_reflection_groups.ComplexReflectionGroups method)
(sage.categories.covariant_functorial_construction.CovariantConstructionCategory method)
(sage.categories.coxeter_groups.CoxeterGroups method)
(sage.categories.enumerated_sets.EnumeratedSets method)
(sage.categories.gcd_domains.GcdDomains method)
(sage.categories.generalized_coxeter_groups.GeneralizedCoxeterGroups method)
(sage.categories.highest_weight_crystals.HighestWeightCrystals method)
(sage.categories.lie_groups.LieGroups method)
(sage.categories.magmas.Magmas.Unital method)
(sage.categories.magmas_and_additive_magmas.MagmasAndAdditiveMagmas method)
(sage.categories.magmatic_algebras.MagmaticAlgebras method)
(sage.categories.manifolds.Manifolds method)
(sage.categories.modules.Modules method)
(sage.categories.objects.Objects method)
(sage.categories.principal_ideal_domains.PrincipalIdealDomains method)
(sage.categories.regular_crystals.RegularCrystals method)
(sage.categories.unique_factorization_domains.UniqueFactorizationDomains method)
(sage.categories.vector_spaces.VectorSpaces method)
(sage.categories.weyl_groups.WeylGroups method)
additive_order() (sage.categories.commutative_additive_groups.CommutativeAdditiveGroups.CartesianProducts.ElementMethods method)
additive_semigroup_generators() (sage.categories.examples.commutative_additive_semigroups.FreeCommutativeAdditiveSemigroup method)
AdditiveAssociative (sage.categories.additive_magmas.AdditiveMagmas attribute)
AdditiveAssociative() (sage.categories.additive_magmas.AdditiveMagmas.SubcategoryMethods method)
AdditiveCommutative (sage.categories.additive_groups.AdditiveGroups attribute)
(sage.categories.additive_monoids.AdditiveMonoids attribute)
(sage.categories.additive_semigroups.AdditiveSemigroups attribute)
AdditiveCommutative() (sage.categories.additive_magmas.AdditiveMagmas.SubcategoryMethods method)
AdditiveGroups (class in sage.categories.additive_groups)
AdditiveGroups.Algebras (class in sage.categories.additive_groups)
AdditiveGroups.Algebras.ParentMethods (class in sage.categories.additive_groups)
AdditiveGroups.Finite (class in sage.categories.additive_groups)
AdditiveGroups.Finite.Algebras (class in sage.categories.additive_groups)
AdditiveGroups.Finite.Algebras.ParentMethods (class in sage.categories.additive_groups)
AdditiveInverse (sage.categories.additive_monoids.AdditiveMonoids attribute)
(sage.categories.distributive_magmas_and_additive_magmas.DistributiveMagmasAndAdditiveMagmas.AdditiveAssociative.AdditiveCommutative.AdditiveUnital.Associative attribute)
AdditiveInverse() (sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.SubcategoryMethods method)
AdditiveMagmas (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveCommutative (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveCommutative.Algebras (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveCommutative.CartesianProducts (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.AdditiveInverse (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.AdditiveInverse.CartesianProducts (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.AdditiveInverse.CartesianProducts.ElementMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.Algebras (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.Algebras.ParentMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.CartesianProducts (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.CartesianProducts.ParentMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.ElementMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.Homsets (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.Homsets.ParentMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.ParentMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.SubcategoryMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.WithRealizations (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.WithRealizations.ParentMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.Algebras (class in sage.categories.additive_magmas)
AdditiveMagmas.Algebras.ParentMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.CartesianProducts (class in sage.categories.additive_magmas)
AdditiveMagmas.CartesianProducts.ElementMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.ElementMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.Homsets (class in sage.categories.additive_magmas)
AdditiveMagmas.ParentMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.SubcategoryMethods (class in sage.categories.additive_magmas)
AdditiveMonoids (class in sage.categories.additive_monoids)
AdditiveMonoids.Homsets (class in sage.categories.additive_monoids)
AdditiveMonoids.ParentMethods (class in sage.categories.additive_monoids)
AdditiveSemigroups (class in sage.categories.additive_semigroups)
AdditiveSemigroups.Algebras (class in sage.categories.additive_semigroups)
AdditiveSemigroups.Algebras.ParentMethods (class in sage.categories.additive_semigroups)
AdditiveSemigroups.CartesianProducts (class in sage.categories.additive_semigroups)
AdditiveSemigroups.Homsets (class in sage.categories.additive_semigroups)
AdditiveSemigroups.ParentMethods (class in sage.categories.additive_semigroups)
AdditiveUnital (sage.categories.additive_semigroups.AdditiveSemigroups attribute)
AdditiveUnital() (sage.categories.additive_magmas.AdditiveMagmas.SubcategoryMethods method)
adjoint_matrix() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ElementMethods method)
affine_grading() (sage.categories.loop_crystals.KirillovReshetikhinCrystals.TensorProducts.ElementMethods method)
affine_grassmannian_elements_of_given_length() (sage.categories.affine_weyl_groups.AffineWeylGroups.ParentMethods method)
affine_grassmannian_to_core() (sage.categories.affine_weyl_groups.AffineWeylGroups.ElementMethods method)
affine_grassmannian_to_partition() (sage.categories.affine_weyl_groups.AffineWeylGroups.ElementMethods method)
AffineWeylGroups (class in sage.categories.affine_weyl_groups)
AffineWeylGroups.ElementMethods (class in sage.categories.affine_weyl_groups)
AffineWeylGroups.ParentMethods (class in sage.categories.affine_weyl_groups)
affinization() (sage.categories.loop_crystals.KirillovReshetikhinCrystals.ParentMethods method)
algebra() (sage.categories.algebra_ideals.AlgebraIdeals method)
(sage.categories.algebra_modules.AlgebraModules method)
(sage.categories.commutative_algebra_ideals.CommutativeAlgebraIdeals method)
(sage.categories.sets_cat.Sets.ParentMethods method)
algebra_generators() (sage.categories.additive_magmas.AdditiveMagmas.Algebras.ParentMethods method)
(sage.categories.additive_semigroups.AdditiveSemigroups.Algebras.ParentMethods method)
(sage.categories.algebras.Algebras.Quotients.ParentMethods method)
(sage.categories.examples.algebras_with_basis.FreeAlgebra method)
(sage.categories.examples.finite_dimensional_algebras_with_basis.KroneckerQuiverPathAlgebra method)
(sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
(sage.categories.examples.lie_algebras_with_basis.IndexedPolynomialRing method)
(sage.categories.magmatic_algebras.MagmaticAlgebras.ParentMethods method)
(sage.categories.magmatic_algebras.MagmaticAlgebras.WithBasis.ParentMethods method)
(sage.categories.monoids.Monoids.Algebras.ParentMethods method)
(sage.categories.semigroups.Semigroups.Algebras.ParentMethods method)
AlgebraFunctor (class in sage.categories.algebra_functor)
AlgebraicClosureFunctor (class in sage.categories.pushout)
AlgebraicExtensionFunctor (class in sage.categories.pushout)
AlgebraIdeals (class in sage.categories.algebra_ideals)
AlgebraModules (class in sage.categories.algebra_modules)
Algebras (class in sage.categories.algebras)
(sage.categories.coxeter_groups.CoxeterGroups attribute)
(sage.categories.groups.Groups attribute)
Algebras() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
Algebras.CartesianProducts (class in sage.categories.algebras)
Algebras.DualObjects (class in sage.categories.algebras)
Algebras.ElementMethods (class in sage.categories.algebras)
Algebras.Quotients (class in sage.categories.algebras)
Algebras.Quotients.ParentMethods (class in sage.categories.algebras)
Algebras.SubcategoryMethods (class in sage.categories.algebras)
Algebras.TensorProducts (class in sage.categories.algebras)
Algebras.TensorProducts.ElementMethods (class in sage.categories.algebras)
Algebras.TensorProducts.ParentMethods (class in sage.categories.algebras)
AlgebrasCategory (class in sage.categories.algebra_functor)
AlgebrasWithBasis (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.CartesianProducts (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.CartesianProducts.ParentMethods (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.ElementMethods (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.ParentMethods (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.TensorProducts (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.TensorProducts.ElementMethods (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.TensorProducts.ParentMethods (class in sage.categories.algebras_with_basis)
all_paths_to_highest_weight() (sage.categories.crystals.Crystals.ElementMethods method)
all_super_categories() (sage.categories.category.Category method)
AlmostComplex() (sage.categories.manifolds.Manifolds.SubcategoryMethods method)
ambient() (sage.categories.category_types.Category_in_ambient method)
(sage.categories.examples.finite_dimensional_lie_algebras_with_basis.AbelianLieAlgebra method)
(sage.categories.examples.finite_enumerated_sets.IsomorphicObjectOfFiniteEnumeratedSet method)
(sage.categories.examples.semigroups.IncompleteSubquotientSemigroup method)
(sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
(sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.Subobjects.ParentMethods method)
(sage.categories.sets_cat.Sets.Subquotients.ParentMethods method)
an_element() (sage.categories.crystals.Crystals.ParentMethods method)
(sage.categories.examples.commutative_additive_semigroups.FreeCommutativeAdditiveSemigroup method)
(sage.categories.examples.cw_complexes.Surface method)
(sage.categories.examples.finite_monoids.IntegerModMonoid method)
(sage.categories.examples.finite_semigroups.LeftRegularBand method)
(sage.categories.examples.graphs.Cycle method)
(sage.categories.examples.infinite_enumerated_sets.NonNegativeIntegers method)
(sage.categories.examples.manifolds.Plane method)
(sage.categories.examples.posets.FiniteSetsOrderedByInclusion method)
(sage.categories.examples.semigroups.FreeSemigroup method)
(sage.categories.examples.semigroups.LeftZeroSemigroup method)
(sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
(sage.categories.examples.sets_cat.PrimeNumbers method)
(sage.categories.examples.sets_cat.PrimeNumbers_Abstract method)
(sage.categories.examples.sets_with_grading.NonNegativeIntegers method)
(sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method)
(sage.categories.sets_cat.Sets.ParentMethods method)
an_instance() (sage.categories.algebra_modules.AlgebraModules class method)
(sage.categories.bimodules.Bimodules class method)
(sage.categories.category.Category class method)
(sage.categories.category_types.Category_ideal class method)
(sage.categories.category_types.Category_over_base class method)
(sage.categories.category_types.Elements class method)
(sage.categories.g_sets.GSets class method)
(sage.categories.groupoid.Groupoid class method)
Analytic() (sage.categories.manifolds.Manifolds.SubcategoryMethods method)
annihilator() (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.ParentMethods method)
annihilator_basis() (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.ParentMethods method)
antichains() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
antipode() (sage.categories.hopf_algebras.HopfAlgebras.ElementMethods method)
(sage.categories.hopf_algebras.HopfAlgebras.Super.ElementMethods method)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis.ParentMethods method)
(sage.categories.super_hopf_algebras_with_basis.SuperHopfAlgebrasWithBasis.ParentMethods method)
antipode_by_coercion() (sage.categories.hopf_algebras.HopfAlgebras.Realizations.ParentMethods method)
antipode_on_basis() (sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
(sage.categories.graded_hopf_algebras_with_basis.GradedHopfAlgebrasWithBasis.Connected.ParentMethods method)
(sage.categories.group_algebras.GroupAlgebras.ParentMethods method)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis.ParentMethods method)
Aperiodic (sage.categories.semigroups.Semigroups attribute)
Aperiodic() (sage.categories.semigroups.Semigroups.SubcategoryMethods method)
AperiodicSemigroups (class in sage.categories.aperiodic_semigroups)
apply_conjugation_by_simple_reflection() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ElementMethods method)
apply_demazure_product() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
apply_multilinear_morphism() (sage.categories.modules_with_basis.ModulesWithBasis.TensorProducts.ElementMethods method)
apply_reflections() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ElementMethods method)
apply_simple_projection() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
apply_simple_reflection() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ElementMethods method)
apply_simple_reflection_left() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ElementMethods method)
apply_simple_reflection_right() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ElementMethods method)
(sage.categories.examples.finite_coxeter_groups.DihedralGroup.Element method)
apply_simple_reflections() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ElementMethods method)
as_finite_dimensional_algebra() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
Associative (sage.categories.magmas.Magmas attribute)
(sage.categories.magmatic_algebras.MagmaticAlgebras attribute)
Associative() (sage.categories.magmas.Magmas.SubcategoryMethods method)
AssociativeAlgebras (class in sage.categories.associative_algebras)
axiom() (in module sage.categories.category_with_axiom)
axiom_of_nested_class() (in module sage.categories.category_with_axiom)
AxiomContainer (class in sage.categories.category_cy_helper)
axioms() (sage.categories.category.Category method)
(sage.categories.category_with_axiom.CategoryWithAxiom method)
B
b_sharp() (sage.categories.loop_crystals.KirillovReshetikhinCrystals.ParentMethods method)
baker_campbell_hausdorff() (sage.categories.lie_algebras.LieAlgebras.ParentMethods method)
Bars (class in sage.categories.category_with_axiom)
base() (sage.categories.category_types.Category_over_base method)
(sage.categories.homsets.HomsetsCategory method)
(sage.categories.signed_tensor.SignedTensorProductsCategory method)
(sage.categories.tensor.TensorProductsCategory method)
base_category() (sage.categories.category_with_axiom.CategoryWithAxiom method)
(sage.categories.covariant_functorial_construction.FunctorialConstructionCategory method)
base_category_class_and_axiom() (in module sage.categories.category_with_axiom)
base_change_matrix() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method)
base_field() (sage.categories.modular_abelian_varieties.ModularAbelianVarieties method)
(sage.categories.vector_spaces.VectorSpaces method)
base_point() (sage.categories.simplicial_sets.SimplicialSets.Pointed.ParentMethods method)
base_point_map() (sage.categories.simplicial_sets.SimplicialSets.Pointed.ParentMethods method)
base_ring() (sage.categories.algebra_functor.AlgebraFunctor method)
(sage.categories.cartesian_product.CartesianProductsCategory method)
(sage.categories.category_types.Category_over_base_ring method)
(sage.categories.hecke_modules.HeckeModules.Homsets method)
(sage.categories.modules.Modules.CartesianProducts.ParentMethods method)
(sage.categories.modules.Modules.Homsets method)
(sage.categories.modules.Modules.Homsets.ParentMethods method)
(sage.categories.modules.Modules.SubcategoryMethods method)
base_scheme() (sage.categories.schemes.Schemes_over_base method)
base_set() (sage.categories.examples.with_realizations.SubsetAlgebra method)
basis() (sage.categories.examples.finite_dimensional_lie_algebras_with_basis.AbelianLieAlgebra method)
(sage.categories.examples.graded_modules_with_basis.GradedPartitionModule method)
(sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ParentMethods method)
(sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
basis_matrix() (sage.categories.examples.finite_dimensional_lie_algebras_with_basis.AbelianLieAlgebra method)
(sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.Subobjects.ParentMethods method)
bch() (sage.categories.lie_algebras.LieAlgebras.ParentMethods method)
bhz_poset() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
Bialgebras (class in sage.categories.bialgebras)
Bialgebras.Super (class in sage.categories.bialgebras)
BialgebrasWithBasis (class in sage.categories.bialgebras_with_basis)
BialgebrasWithBasis.ElementMethods (class in sage.categories.bialgebras_with_basis)
BialgebrasWithBasis.ParentMethods (class in sage.categories.bialgebras_with_basis)
Bimodules (class in sage.categories.bimodules)
Bimodules.ElementMethods (class in sage.categories.bimodules)
Bimodules.ParentMethods (class in sage.categories.bimodules)
binary_factorizations() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
birational_free_labelling() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
birational_rowmotion() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
birational_toggle() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
birational_toggles() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
BlackBoxConstructionFunctor (class in sage.categories.pushout)
Blahs (class in sage.categories.category_with_axiom)
Blahs.Commutative (class in sage.categories.category_with_axiom)
Blahs.Connected (class in sage.categories.category_with_axiom)
Blahs.FiniteDimensional (class in sage.categories.category_with_axiom)
Blahs.Flying (class in sage.categories.category_with_axiom)
Blahs.SubcategoryMethods (class in sage.categories.category_with_axiom)
Blahs.Unital (class in sage.categories.category_with_axiom)
Blahs.Unital.Blue (class in sage.categories.category_with_axiom)
Blue() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method)
Blue_extra_super_categories() (sage.categories.category_with_axiom.Blahs method)
bracket() (sage.categories.lie_algebras.LieAlgebras.ElementMethods method)
(sage.categories.lie_algebras.LieAlgebras.ParentMethods method)
(sage.categories.rings.Rings.ParentMethods method)
bracket_on_basis() (sage.categories.examples.lie_algebras_with_basis.AbelianLieAlgebra method)
(sage.categories.lie_algebras_with_basis.LieAlgebrasWithBasis.ParentMethods method)
braid_group_as_finitely_presented_group() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
braid_orbit() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
braid_relations() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
bruhat_graph() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
bruhat_interval() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
bruhat_interval_poset() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
bruhat_le() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
bruhat_lower_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
bruhat_lower_covers_coroots() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
bruhat_lower_covers_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
bruhat_poset() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
bruhat_upper_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ElementMethods method)
bruhat_upper_covers_coroots() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
bruhat_upper_covers_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
C
CallMorphism (class in sage.categories.morphism)
cambrian_lattice() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
canonical_matrix() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
canonical_representation() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
canonicalize_axioms() (in module sage.categories.category_cy_helper)
cardinality() (sage.categories.classical_crystals.ClassicalCrystals.ParentMethods method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.CartesianProducts.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.IsomorphicObjects.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method)
(sage.categories.finite_groups.FiniteGroups.ParentMethods method)
(sage.categories.loop_crystals.KirillovReshetikhinCrystals.ParentMethods method)
(sage.categories.loop_crystals.KirillovReshetikhinCrystals.TensorProducts.ParentMethods method)
(sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
(sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method)
(sage.categories.sets_cat.Sets.Infinite.ParentMethods method)
cartan_invariants_matrix() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
cartan_type() (sage.categories.crystals.CrystalMorphism method)
(sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.crystals.Crystals.ParentMethods method)
(sage.categories.examples.finite_weyl_groups.SymmetricGroup method)
(sage.categories.kac_moody_algebras.KacMoodyAlgebras.ParentMethods method)
(sage.categories.quantum_group_representations.QuantumGroupRepresentations.ParentMethods method)
(sage.categories.quantum_group_representations.QuantumGroupRepresentations.TensorProducts.ParentMethods method)
cartesian_factors() (sage.categories.sets_cat.Sets.CartesianProducts.ElementMethods method)
(sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method)
cartesian_product() (sage.categories.sets_cat.Sets.ElementMethods method)
(sage.categories.sets_cat.Sets.ParentMethods method)
cartesian_projection() (sage.categories.sets_cat.Sets.CartesianProducts.ElementMethods method)
(sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method)
CartesianProduct (sage.categories.posets.Posets.ParentMethods attribute)
(sage.categories.sets_cat.Sets.ParentMethods attribute)
CartesianProductFunctor (class in sage.categories.cartesian_product)
CartesianProducts() (sage.categories.cartesian_product.CartesianProductsCategory method)
(sage.categories.sets_cat.Sets.SubcategoryMethods method)
CartesianProductsCategory (class in sage.categories.cartesian_product)
catalan_number() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.Irreducible.ParentMethods method)
Category (class in sage.categories.category)
category() (sage.categories.category.Category method)
(sage.categories.morphism.Morphism method)
Category_contains_method_by_parent_class (class in sage.categories.category_singleton)
category_for() (sage.categories.map.Map method)
category_from_categories() (sage.categories.covariant_functorial_construction.CovariantFunctorialConstruction method)
category_from_category() (sage.categories.covariant_functorial_construction.CovariantFunctorialConstruction method)
category_from_parents() (sage.categories.covariant_functorial_construction.CovariantFunctorialConstruction method)
category_graph() (in module sage.categories.category)
(sage.categories.category.Category method)
Category_ideal (class in sage.categories.category_types)
Category_in_ambient (class in sage.categories.category_types)
Category_module (class in sage.categories.category_types)
category_of() (sage.categories.covariant_functorial_construction.FunctorialConstructionCategory class method)
Category_over_base (class in sage.categories.category_types)
Category_over_base_ring (class in sage.categories.category_types)
Category_realization_of_parent (class in sage.categories.realizations)
category_sample() (in module sage.categories.category)
Category_singleton (class in sage.categories.category_singleton)
category_sort_key() (in module sage.categories.category_cy_helper)
CategoryWithAxiom (class in sage.categories.category_with_axiom)
CategoryWithAxiom_over_base_ring (class in sage.categories.category_with_axiom)
CategoryWithAxiom_singleton (class in sage.categories.category_with_axiom)
CategoryWithParameters (class in sage.categories.category)
cayley_graph() (sage.categories.semigroups.Semigroups.ParentMethods method)
cayley_graph_disabled() (sage.categories.finite_groups.FiniteGroups.ParentMethods method)
cayley_table() (sage.categories.groups.Groups.ParentMethods method)
cell_module() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.Cellular.ParentMethods method)
cell_module_indices() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.Cellular.ParentMethods method)
(sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.Cellular.TensorProducts.ParentMethods method)
cell_poset() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.Cellular.ParentMethods method)
(sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.Cellular.TensorProducts.ParentMethods method)
cells() (sage.categories.cw_complexes.CWComplexes.ParentMethods method)
(sage.categories.examples.cw_complexes.Surface method)
(sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.Cellular.ParentMethods method)
Cellular() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.SubcategoryMethods method)
cellular_basis() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.Cellular.ParentMethods method)
cellular_involution() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.Cellular.ElementMethods method)
(sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.Cellular.ParentMethods method)
(sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.Cellular.TensorProducts.ParentMethods method)
center() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
(sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
center_basis() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
(sage.categories.group_algebras.GroupAlgebras.ParentMethods method)
central_form() (sage.categories.group_algebras.GroupAlgebras.ElementMethods method)
central_orthogonal_idempotents() (sage.categories.finite_dimensional_semisimple_algebras_with_basis.FiniteDimensionalSemisimpleAlgebrasWithBasis.Commutative.ParentMethods method)
(sage.categories.finite_dimensional_semisimple_algebras_with_basis.FiniteDimensionalSemisimpleAlgebrasWithBasis.ParentMethods method)
centralizer() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
centralizer_basis() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
ChainComplexes (class in sage.categories.category_types)
character() (sage.categories.classical_crystals.ClassicalCrystals.ParentMethods method)
(sage.categories.regular_supercrystals.RegularSuperCrystals.ParentMethods method)
character_value() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ElementMethods method)
characteristic() (sage.categories.rings.Rings.ParentMethods method)
chevalley_eilenberg_complex() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
classical_decomposition() (sage.categories.loop_crystals.KirillovReshetikhinCrystals.ParentMethods method)
classical_weight() (sage.categories.loop_crystals.RegularLoopCrystals.ElementMethods method)
ClassicalCrystals (class in sage.categories.classical_crystals)
ClassicalCrystals.ElementMethods (class in sage.categories.classical_crystals)
ClassicalCrystals.ParentMethods (class in sage.categories.classical_crystals)
ClassicalCrystals.TensorProducts (class in sage.categories.classical_crystals)
classically_highest_weight_vectors() (sage.categories.loop_crystals.KirillovReshetikhinCrystals.ParentMethods method)
(sage.categories.loop_crystals.KirillovReshetikhinCrystals.TensorProducts.ParentMethods method)
Coalgebras (class in sage.categories.coalgebras)
Coalgebras.Cocommutative (class in sage.categories.coalgebras)
Coalgebras.DualObjects (class in sage.categories.coalgebras)
Coalgebras.ElementMethods (class in sage.categories.coalgebras)
Coalgebras.Filtered (class in sage.categories.coalgebras)
Coalgebras.ParentMethods (class in sage.categories.coalgebras)
Coalgebras.Realizations (class in sage.categories.coalgebras)
Coalgebras.Realizations.ParentMethods (class in sage.categories.coalgebras)
Coalgebras.SubcategoryMethods (class in sage.categories.coalgebras)
Coalgebras.Super (class in sage.categories.coalgebras)
Coalgebras.Super.SubcategoryMethods (class in sage.categories.coalgebras)
Coalgebras.Super.Supercocommutative (class in sage.categories.coalgebras)
Coalgebras.TensorProducts (class in sage.categories.coalgebras)
Coalgebras.TensorProducts.ElementMethods (class in sage.categories.coalgebras)
Coalgebras.TensorProducts.ParentMethods (class in sage.categories.coalgebras)
Coalgebras.WithRealizations (class in sage.categories.coalgebras)
Coalgebras.WithRealizations.ParentMethods (class in sage.categories.coalgebras)
CoalgebrasWithBasis (class in sage.categories.coalgebras_with_basis)
CoalgebrasWithBasis.ElementMethods (class in sage.categories.coalgebras_with_basis)
CoalgebrasWithBasis.Filtered (class in sage.categories.coalgebras_with_basis)
CoalgebrasWithBasis.ParentMethods (class in sage.categories.coalgebras_with_basis)
CoalgebrasWithBasis.Super (class in sage.categories.coalgebras_with_basis)
Cocommutative() (sage.categories.coalgebras.Coalgebras.SubcategoryMethods method)
codegrees() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method)
(sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
codomain (sage.categories.map.Map attribute)
codomain() (sage.categories.action.Action method)
(sage.categories.action.InverseAction method)
(sage.categories.action.PrecomposedAction method)
(sage.categories.functor.Functor method)
(sage.categories.homset.Homset method)
(sage.categories.poor_man_map.PoorManMap method)
coefficient() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
coefficients() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
coercion_reversed (sage.categories.pushout.ConstructionFunctor attribute)
(sage.categories.pushout.SubspaceFunctor attribute)
cohomology() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
common_base() (sage.categories.pushout.ConstructionFunctor method)
(sage.categories.pushout.MultivariateConstructionFunctor method)
Commutative (sage.categories.algebras.Algebras attribute)
(sage.categories.division_rings.DivisionRings attribute)
(sage.categories.domains.Domains attribute)
(sage.categories.rings.Rings attribute)
Commutative() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method)
(sage.categories.magmas.Magmas.SubcategoryMethods method)
Commutative_extra_super_categories() (sage.categories.l_trivial_semigroups.LTrivialSemigroups method)
(sage.categories.r_trivial_semigroups.RTrivialSemigroups method)
CommutativeAdditiveGroups (class in sage.categories.commutative_additive_groups)
CommutativeAdditiveGroups.Algebras (class in sage.categories.commutative_additive_groups)
CommutativeAdditiveGroups.CartesianProducts (class in sage.categories.commutative_additive_groups)
CommutativeAdditiveGroups.CartesianProducts.ElementMethods (class in sage.categories.commutative_additive_groups)
CommutativeAdditiveMonoids (class in sage.categories.commutative_additive_monoids)
CommutativeAdditiveSemigroups (class in sage.categories.commutative_additive_semigroups)
CommutativeAlgebraIdeals (class in sage.categories.commutative_algebra_ideals)
CommutativeAlgebras (class in sage.categories.commutative_algebras)
CommutativeRingIdeals (class in sage.categories.commutative_ring_ideals)
CommutativeRings (class in sage.categories.commutative_rings)
CommutativeRings.CartesianProducts (class in sage.categories.commutative_rings)
CommutativeRings.ElementMethods (class in sage.categories.commutative_rings)
CommutativeRings.Finite (class in sage.categories.commutative_rings)
CommutativeRings.Finite.ParentMethods (class in sage.categories.commutative_rings)
CommutativeRings.ParentMethods (class in sage.categories.commutative_rings)
commutes() (sage.categories.pushout.CompletionFunctor method)
(sage.categories.pushout.ConstructionFunctor method)
Compact() (sage.categories.topological_spaces.TopologicalSpaces.SubcategoryMethods method)
Compact_extra_super_categories() (sage.categories.cw_complexes.CWComplexes method)
Complete() (sage.categories.metric_spaces.MetricSpaces.SubcategoryMethods method)
CompleteDiscreteValuationFields (class in sage.categories.complete_discrete_valuation)
CompleteDiscreteValuationFields.ElementMethods (class in sage.categories.complete_discrete_valuation)
CompleteDiscreteValuationRings (class in sage.categories.complete_discrete_valuation)
CompleteDiscreteValuationRings.ElementMethods (class in sage.categories.complete_discrete_valuation)
CompletionFunctor (class in sage.categories.pushout)
Complex() (sage.categories.manifolds.Manifolds.SubcategoryMethods method)
ComplexManifolds (class in sage.categories.manifolds)
ComplexReflectionGroups (class in sage.categories.complex_reflection_groups)
ComplexReflectionGroups.ParentMethods (class in sage.categories.complex_reflection_groups)
ComplexReflectionOrGeneralizedCoxeterGroups (class in sage.categories.complex_reflection_or_generalized_coxeter_groups)
ComplexReflectionOrGeneralizedCoxeterGroups.ElementMethods (class in sage.categories.complex_reflection_or_generalized_coxeter_groups)
ComplexReflectionOrGeneralizedCoxeterGroups.Irreducible (class in sage.categories.complex_reflection_or_generalized_coxeter_groups)
ComplexReflectionOrGeneralizedCoxeterGroups.Irreducible.ParentMethods (class in sage.categories.complex_reflection_or_generalized_coxeter_groups)
ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods (class in sage.categories.complex_reflection_or_generalized_coxeter_groups)
ComplexReflectionOrGeneralizedCoxeterGroups.SubcategoryMethods (class in sage.categories.complex_reflection_or_generalized_coxeter_groups)
CompositeConstructionFunctor (class in sage.categories.pushout)
conjugacy_class() (sage.categories.groups.Groups.ElementMethods method)
(sage.categories.groups.Groups.ParentMethods method)
conjugacy_classes() (sage.categories.finite_groups.FiniteGroups.ParentMethods method)
conjugacy_classes_representatives() (sage.categories.finite_groups.FiniteGroups.ParentMethods method)
Connected() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method)
(sage.categories.cw_complexes.CWComplexes.SubcategoryMethods method)
(sage.categories.filtered_modules.FilteredModules.SubcategoryMethods method)
(sage.categories.manifolds.Manifolds.SubcategoryMethods method)
(sage.categories.topological_spaces.TopologicalSpaces.SubcategoryMethods method)
connected_components() (sage.categories.crystals.Crystals.ParentMethods method)
(sage.categories.regular_supercrystals.RegularSuperCrystals.ParentMethods method)
connected_components_generators() (sage.categories.crystals.Crystals.ParentMethods method)
(sage.categories.highest_weight_crystals.HighestWeightCrystals.ParentMethods method)
(sage.categories.regular_supercrystals.RegularSuperCrystals.ParentMethods method)
connectivity() (sage.categories.simplicial_sets.SimplicialSets.Pointed.ParentMethods method)
construction() (sage.categories.sets_cat.Sets.Algebras.ParentMethods method)
(sage.categories.sets_cat.Sets.ParentMethods method)
construction_tower() (in module sage.categories.pushout)
ConstructionFunctor (class in sage.categories.pushout)
convolution_product() (sage.categories.bialgebras_with_basis.BialgebrasWithBasis.ElementMethods method)
(sage.categories.bialgebras_with_basis.BialgebrasWithBasis.ParentMethods method)
coproduct() (sage.categories.coalgebras.Coalgebras.ElementMethods method)
(sage.categories.coalgebras.Coalgebras.ParentMethods method)
(sage.categories.coalgebras.Coalgebras.WithRealizations.ParentMethods method)
(sage.categories.coalgebras_with_basis.CoalgebrasWithBasis.ParentMethods method)
coproduct_by_coercion() (sage.categories.coalgebras.Coalgebras.Realizations.ParentMethods method)
coproduct_iterated() (sage.categories.coalgebras_with_basis.CoalgebrasWithBasis.ElementMethods method)
coproduct_on_basis() (sage.categories.coalgebras_with_basis.CoalgebrasWithBasis.ParentMethods method)
(sage.categories.examples.graded_connected_hopf_algebras_with_basis.GradedConnectedCombinatorialHopfAlgebraWithPrimitiveGenerator method)
(sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
(sage.categories.group_algebras.GroupAlgebras.ParentMethods method)
coset_representative() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
counit() (sage.categories.coalgebras.Coalgebras.ElementMethods method)
(sage.categories.coalgebras.Coalgebras.ParentMethods method)
(sage.categories.coalgebras.Coalgebras.WithRealizations.ParentMethods method)
(sage.categories.coalgebras_with_basis.CoalgebrasWithBasis.ParentMethods method)
(sage.categories.group_algebras.GroupAlgebras.ParentMethods method)
counit_by_coercion() (sage.categories.coalgebras.Coalgebras.Realizations.ParentMethods method)
counit_on_basis() (sage.categories.coalgebras_with_basis.CoalgebrasWithBasis.ParentMethods method)
(sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
(sage.categories.graded_hopf_algebras_with_basis.GradedHopfAlgebrasWithBasis.Connected.ParentMethods method)
(sage.categories.group_algebras.GroupAlgebras.ParentMethods method)
CovariantConstructionCategory (class in sage.categories.covariant_functorial_construction)
CovariantFunctorialConstruction (class in sage.categories.covariant_functorial_construction)
cover_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
covered_reflections_subgroup() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ElementMethods method)
coxeter_diagram() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
coxeter_element() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.ParentMethods method)
coxeter_elements() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.ParentMethods method)
coxeter_knuth_graph() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ElementMethods method)
coxeter_knuth_neighbor() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ElementMethods method)
coxeter_matrix() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
(sage.categories.examples.finite_coxeter_groups.DihedralGroup method)
(sage.categories.weyl_groups.WeylGroups.ParentMethods method)
coxeter_number() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.Irreducible.ParentMethods method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.Irreducible.ParentMethods method)
coxeter_sorting_word() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
coxeter_type() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
CoxeterGroupAlgebras (class in sage.categories.coxeter_group_algebras)
CoxeterGroupAlgebras.ParentMethods (class in sage.categories.coxeter_group_algebras)
CoxeterGroups (class in sage.categories.coxeter_groups)
CoxeterGroups.ElementMethods (class in sage.categories.coxeter_groups)
CoxeterGroups.ParentMethods (class in sage.categories.coxeter_groups)
crystal_morphism() (sage.categories.crystals.Crystals.ParentMethods method)
CrystalHomset (class in sage.categories.crystals)
CrystalMorphism (class in sage.categories.crystals)
CrystalMorphismByGenerators (class in sage.categories.crystals)
Crystals (class in sage.categories.crystals)
Crystals.ElementMethods (class in sage.categories.crystals)
Crystals.MorphismMethods (class in sage.categories.crystals)
Crystals.ParentMethods (class in sage.categories.crystals)
Crystals.SubcategoryMethods (class in sage.categories.crystals)
Crystals.TensorProducts (class in sage.categories.crystals)
CWComplexes (class in sage.categories.cw_complexes)
CWComplexes.Connected (class in sage.categories.cw_complexes)
CWComplexes.ElementMethods (class in sage.categories.cw_complexes)
CWComplexes.Finite (class in sage.categories.cw_complexes)
CWComplexes.Finite.ParentMethods (class in sage.categories.cw_complexes)
CWComplexes.FiniteDimensional (class in sage.categories.cw_complexes)
CWComplexes.ParentMethods (class in sage.categories.cw_complexes)
CWComplexes.SubcategoryMethods (class in sage.categories.cw_complexes)
Cycle (class in sage.categories.examples.graphs)
Cycle.Element (class in sage.categories.examples.graphs)
cycle_index() (sage.categories.finite_permutation_groups.FinitePermutationGroups.ParentMethods method)
cyclotomic_cosets() (sage.categories.commutative_rings.CommutativeRings.Finite.ParentMethods method)
D
default_super_categories() (sage.categories.covariant_functorial_construction.CovariantConstructionCategory class method)
(sage.categories.covariant_functorial_construction.RegressiveCovariantConstructionCategory class method)
(sage.categories.graded_modules.GradedModulesCategory class method)
(sage.categories.homsets.HomsetsCategory class method)
(sage.categories.isomorphic_objects.IsomorphicObjectsCategory class method)
(sage.categories.metric_spaces.MetricSpacesCategory class method)
(sage.categories.quotients.QuotientsCategory class method)
(sage.categories.subobjects.SubobjectsCategory class method)
(sage.categories.super_modules.SuperModulesCategory class method)
degree() (sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ElementMethods method)
degree_negation() (sage.categories.graded_modules_with_basis.GradedModulesWithBasis.ElementMethods method)
(sage.categories.graded_modules_with_basis.GradedModulesWithBasis.ParentMethods method)
degree_on_basis() (sage.categories.examples.graded_connected_hopf_algebras_with_basis.GradedConnectedCombinatorialHopfAlgebraWithPrimitiveGenerator method)
(sage.categories.examples.graded_modules_with_basis.GradedPartitionModule method)
(sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ElementMethods method)
(sage.categories.finite_dimensional_graded_lie_algebras_with_basis.FiniteDimensionalGradedLieAlgebrasWithBasis.Stratified.ParentMethods method)
degrees() (sage.categories.examples.finite_coxeter_groups.DihedralGroup method)
(sage.categories.examples.finite_weyl_groups.SymmetricGroup method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method)
(sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
demazure_character() (sage.categories.classical_crystals.ClassicalCrystals.ParentMethods method)
demazure_lusztig_eigenvectors() (sage.categories.coxeter_group_algebras.CoxeterGroupAlgebras.ParentMethods method)
demazure_lusztig_operator_on_basis() (sage.categories.coxeter_group_algebras.CoxeterGroupAlgebras.ParentMethods method)
demazure_lusztig_operators() (sage.categories.coxeter_group_algebras.CoxeterGroupAlgebras.ParentMethods method)
demazure_operator() (sage.categories.regular_crystals.RegularCrystals.ParentMethods method)
demazure_operator_simple() (sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
demazure_product() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
demazure_subcrystal() (sage.categories.regular_crystals.RegularCrystals.ParentMethods method)
denominator() (sage.categories.complete_discrete_valuation.CompleteDiscreteValuationFields.ElementMethods method)
(sage.categories.complete_discrete_valuation.CompleteDiscreteValuationRings.ElementMethods method)
(sage.categories.quotient_fields.QuotientFields.ElementMethods method)
dense_coefficient_list() (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.ElementMethods method)
deodhar_factor_element() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
deodhar_lift_down() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
deodhar_lift_up() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
derivations_basis() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
(sage.categories.magmatic_algebras.MagmaticAlgebras.WithBasis.FiniteDimensional.ParentMethods method)
derivative() (sage.categories.quotient_fields.QuotientFields.ElementMethods method)
derived_series() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
derived_subalgebra() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
descents() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
Differentiable() (sage.categories.manifolds.Manifolds.SubcategoryMethods method)
digraph() (sage.categories.crystals.Crystals.ParentMethods method)
(sage.categories.highest_weight_crystals.HighestWeightCrystals.ParentMethods method)
(sage.categories.loop_crystals.LoopCrystals.ParentMethods method)
(sage.categories.regular_supercrystals.RegularSuperCrystals.ParentMethods method)
DihedralGroup (class in sage.categories.examples.finite_coxeter_groups)
DihedralGroup.Element (class in sage.categories.examples.finite_coxeter_groups)
dimension() (sage.categories.cw_complexes.CWComplexes.ElementMethods method)
(sage.categories.cw_complexes.CWComplexes.Finite.ParentMethods method)
(sage.categories.cw_complexes.CWComplexes.ParentMethods method)
(sage.categories.examples.cw_complexes.Surface.Element method)
(sage.categories.examples.graphs.Cycle.Element method)
(sage.categories.examples.manifolds.Plane method)
(sage.categories.graphs.Graphs.ParentMethods method)
(sage.categories.lie_algebras_with_basis.LieAlgebrasWithBasis.ParentMethods method)
(sage.categories.manifolds.Manifolds.ParentMethods method)
(sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
(sage.categories.simplicial_complexes.SimplicialComplexes.Finite.ParentMethods method)
direct_sum() (sage.categories.crystals.Crystals.ParentMethods method)
directed_subset() (sage.categories.posets.Posets.ParentMethods method)
directed_subsets() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
DiscreteValuationFields (class in sage.categories.discrete_valuation)
DiscreteValuationFields.ElementMethods (class in sage.categories.discrete_valuation)
DiscreteValuationFields.ParentMethods (class in sage.categories.discrete_valuation)
DiscreteValuationRings (class in sage.categories.discrete_valuation)
DiscreteValuationRings.ElementMethods (class in sage.categories.discrete_valuation)
DiscreteValuationRings.ParentMethods (class in sage.categories.discrete_valuation)
dist() (sage.categories.metric_spaces.MetricSpaces.ElementMethods method)
(sage.categories.metric_spaces.MetricSpaces.ParentMethods method)
(sage.categories.metric_spaces.MetricSpaces.WithRealizations.ParentMethods method)
distinguished_reflection() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method)
distinguished_reflections() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method)
Distributive (sage.categories.magmas_and_additive_magmas.MagmasAndAdditiveMagmas attribute)
Distributive() (sage.categories.magmas.Magmas.SubcategoryMethods method)
(sage.categories.magmas_and_additive_magmas.MagmasAndAdditiveMagmas.SubcategoryMethods method)
DistributiveMagmasAndAdditiveMagmas (class in sage.categories.distributive_magmas_and_additive_magmas)
DistributiveMagmasAndAdditiveMagmas.AdditiveAssociative (class in sage.categories.distributive_magmas_and_additive_magmas)
DistributiveMagmasAndAdditiveMagmas.AdditiveAssociative.AdditiveCommutative (class in sage.categories.distributive_magmas_and_additive_magmas)
DistributiveMagmasAndAdditiveMagmas.AdditiveAssociative.AdditiveCommutative.AdditiveUnital (class in sage.categories.distributive_magmas_and_additive_magmas)
DistributiveMagmasAndAdditiveMagmas.AdditiveAssociative.AdditiveCommutative.AdditiveUnital.Associative (class in sage.categories.distributive_magmas_and_additive_magmas)
DistributiveMagmasAndAdditiveMagmas.CartesianProducts (class in sage.categories.distributive_magmas_and_additive_magmas)
DistributiveMagmasAndAdditiveMagmas.ParentMethods (class in sage.categories.distributive_magmas_and_additive_magmas)
Division (sage.categories.rings.Rings attribute)
Division() (sage.categories.rings.Rings.SubcategoryMethods method)
DivisionRings (class in sage.categories.division_rings)
DivisionRings.ElementMethods (class in sage.categories.division_rings)
DivisionRings.ParentMethods (class in sage.categories.division_rings)
domain (sage.categories.map.Map attribute)
domain() (sage.categories.action.Action method)
(sage.categories.action.PrecomposedAction method)
(sage.categories.functor.Functor method)
(sage.categories.homset.Homset method)
(sage.categories.poor_man_map.PoorManMap method)
Domains (class in sage.categories.domains)
domains() (sage.categories.map.FormalCompositeMap method)
(sage.categories.map.Map method)
Domains.ElementMethods (class in sage.categories.domains)
Domains.ParentMethods (class in sage.categories.domains)
dot_tex() (sage.categories.crystals.Crystals.ParentMethods method)
dual() (sage.categories.hopf_algebras.HopfAlgebras method)
(sage.categories.hopf_algebras.HopfAlgebras.Super method)
(sage.categories.modules.Modules.SubcategoryMethods method)
dual_equivalence_class() (sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
dual_equivalence_graph() (sage.categories.regular_crystals.RegularCrystals.ParentMethods method)
DualFunctor (class in sage.categories.dual)
DualObjects() (sage.categories.modules.Modules.SubcategoryMethods method)
DualObjectsCategory (class in sage.categories.dual)
E
e() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.examples.crystals.HighestWeightCrystalOfTypeA.Element method)
(sage.categories.examples.crystals.NaiveCrystal.Element method)
(sage.categories.quantum_group_representations.QuantumGroupRepresentations.WithBasis.ElementMethods method)
(sage.categories.triangular_kac_moody_algebras.TriangularKacMoodyAlgebras.ParentMethods method)
e_on_basis() (sage.categories.quantum_group_representations.QuantumGroupRepresentations.WithBasis.TensorProducts.ParentMethods method)
e_string() (sage.categories.crystals.Crystals.ElementMethods method)
e_string_to_ground_state() (sage.categories.loop_crystals.KirillovReshetikhinCrystals.TensorProducts.ElementMethods method)
echelon_form() (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
edges() (sage.categories.examples.graphs.Cycle method)
(sage.categories.graphs.Graphs.ParentMethods method)
Element (sage.categories.crystals.CrystalHomset attribute)
(sage.categories.examples.infinite_enumerated_sets.NonNegativeIntegers attribute)
(sage.categories.examples.manifolds.Plane attribute)
(sage.categories.examples.semigroups_cython.LeftZeroSemigroup attribute)
(sage.categories.highest_weight_crystals.HighestWeightCrystalHomset attribute)
element_class (sage.categories.examples.sets_cat.PrimeNumbers attribute)
(sage.categories.examples.sets_cat.PrimeNumbers_Facade attribute)
element_class() (sage.categories.category.Category method)
element_class_set_morphism() (sage.categories.homset.Homset method)
Elements (class in sage.categories.category_types)
elements_below_coxeter_element() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.Irreducible.ParentMethods method)
elements_of_length() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
ElementWrapper (sage.categories.examples.sets_cat.PrimeNumbers_Wrapper attribute)
EmptySetError
End() (in module sage.categories.homset)
end() (in module sage.categories.homset)
Endset() (sage.categories.homsets.Homsets.SubcategoryMethods method)
Endsets() (sage.categories.objects.Objects.SubcategoryMethods method)
energy_function() (sage.categories.loop_crystals.KirillovReshetikhinCrystals.ElementMethods method)
(sage.categories.loop_crystals.KirillovReshetikhinCrystals.TensorProducts.ElementMethods method)
Enumerated (sage.categories.sets_cat.Sets attribute)
Enumerated() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
EnumeratedSets (class in sage.categories.enumerated_sets)
EnumeratedSets.CartesianProducts (class in sage.categories.enumerated_sets)
EnumeratedSets.CartesianProducts.ParentMethods (class in sage.categories.enumerated_sets)
EnumeratedSets.ElementMethods (class in sage.categories.enumerated_sets)
EnumeratedSets.ParentMethods (class in sage.categories.enumerated_sets)
Epsilon() (sage.categories.crystals.Crystals.ElementMethods method)
epsilon() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
(sage.categories.regular_supercrystals.RegularSuperCrystals.ElementMethods method)
euclidean_degree() (sage.categories.discrete_valuation.DiscreteValuationRings.ElementMethods method)
(sage.categories.euclidean_domains.EuclideanDomains.ElementMethods method)
(sage.categories.fields.Fields.ElementMethods method)
EuclideanDomains (class in sage.categories.euclidean_domains)
EuclideanDomains.ElementMethods (class in sage.categories.euclidean_domains)
EuclideanDomains.ParentMethods (class in sage.categories.euclidean_domains)
even_component() (sage.categories.super_modules_with_basis.SuperModulesWithBasis.ElementMethods method)
Example (class in sage.categories.examples.finite_enumerated_sets)
(in module sage.categories.examples.algebras_with_basis)
(in module sage.categories.examples.commutative_additive_monoids)
(in module sage.categories.examples.commutative_additive_semigroups)
(in module sage.categories.examples.cw_complexes)
(in module sage.categories.examples.finite_coxeter_groups)
(in module sage.categories.examples.finite_dimensional_algebras_with_basis)
(in module sage.categories.examples.finite_dimensional_lie_algebras_with_basis)
(in module sage.categories.examples.finite_monoids)
(in module sage.categories.examples.finite_semigroups)
(in module sage.categories.examples.finite_weyl_groups)
(in module sage.categories.examples.graded_connected_hopf_algebras_with_basis)
(in module sage.categories.examples.graded_modules_with_basis)
(in module sage.categories.examples.graphs)
(in module sage.categories.examples.infinite_enumerated_sets)
(in module sage.categories.examples.lie_algebras)
(in module sage.categories.examples.lie_algebras_with_basis)
(in module sage.categories.examples.manifolds)
(in module sage.categories.examples.monoids)
(in module sage.categories.examples.sets_with_grading)
example() (sage.categories.algebras_with_basis.AlgebrasWithBasis method)
(sage.categories.category.Category method)
(sage.categories.classical_crystals.ClassicalCrystals method)
(sage.categories.complex_reflection_groups.ComplexReflectionGroups method)
(sage.categories.crystals.Crystals method)
(sage.categories.facade_sets.FacadeSets method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.Irreducible method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.Irreducible method)
(sage.categories.finite_crystals.FiniteCrystals method)
(sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.IsomorphicObjects method)
(sage.categories.finite_groups.FiniteGroups method)
(sage.categories.finite_permutation_groups.FinitePermutationGroups method)
(sage.categories.finitely_generated_semigroups.FinitelyGeneratedSemigroups method)
(sage.categories.graded_hopf_algebras_with_basis.GradedHopfAlgebrasWithBasis method)
(sage.categories.graded_hopf_algebras_with_basis.GradedHopfAlgebrasWithBasis.Connected method)
(sage.categories.group_algebras.GroupAlgebras method)
(sage.categories.groups.Groups method)
(sage.categories.highest_weight_crystals.HighestWeightCrystals method)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis method)
(sage.categories.kac_moody_algebras.KacMoodyAlgebras method)
(sage.categories.lie_algebras.LieAlgebras method)
(sage.categories.lie_algebras_with_basis.LieAlgebrasWithBasis method)
(sage.categories.loop_crystals.LoopCrystals method)
(sage.categories.magmas.Magmas.CartesianProducts method)
(sage.categories.posets.Posets method)
(sage.categories.quantum_group_representations.QuantumGroupRepresentations method)
(sage.categories.regular_crystals.RegularCrystals method)
(sage.categories.semigroups.Semigroups method)
(sage.categories.semigroups.Semigroups.Quotients method)
(sage.categories.semigroups.Semigroups.Subquotients method)
(sage.categories.sets_cat.Sets method)
(sage.categories.sets_cat.Sets.CartesianProducts method)
(sage.categories.sets_cat.Sets.WithRealizations method)
(sage.categories.vector_spaces.VectorSpaces.WithBasis.Filtered method)
(sage.categories.vector_spaces.VectorSpaces.WithBasis.Graded method)
exp() (sage.categories.lie_algebras.LieAlgebras.ElementMethods method)
expand() (sage.categories.pushout.AlgebraicExtensionFunctor method)
(sage.categories.pushout.CompositeConstructionFunctor method)
(sage.categories.pushout.ConstructionFunctor method)
(sage.categories.pushout.InfinitePolynomialFunctor method)
(sage.categories.pushout.MultiPolynomialFunctor method)
expand_tower() (in module sage.categories.pushout)
extend_codomain() (sage.categories.map.Map method)
extend_domain() (sage.categories.map.Map method)
extra_super_categories() (sage.categories.additive_groups.AdditiveGroups.Finite.Algebras method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveCommutative.Algebras method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveCommutative.CartesianProducts method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.AdditiveInverse.CartesianProducts method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.Algebras method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.CartesianProducts method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.Homsets method)
(sage.categories.additive_magmas.AdditiveMagmas.Algebras method)
(sage.categories.additive_magmas.AdditiveMagmas.CartesianProducts method)
(sage.categories.additive_magmas.AdditiveMagmas.Homsets method)
(sage.categories.additive_monoids.AdditiveMonoids.Homsets method)
(sage.categories.additive_semigroups.AdditiveSemigroups.Algebras method)
(sage.categories.additive_semigroups.AdditiveSemigroups.CartesianProducts method)
(sage.categories.additive_semigroups.AdditiveSemigroups.Homsets method)
(sage.categories.algebras.Algebras.CartesianProducts method)
(sage.categories.algebras.Algebras.DualObjects method)
(sage.categories.algebras.Algebras.TensorProducts method)
(sage.categories.algebras_with_basis.AlgebrasWithBasis.CartesianProducts method)
(sage.categories.algebras_with_basis.AlgebrasWithBasis.TensorProducts method)
(sage.categories.aperiodic_semigroups.AperiodicSemigroups method)
(sage.categories.category_with_axiom.Blahs.Flying method)
(sage.categories.category_with_axiom.CategoryWithAxiom method)
(sage.categories.classical_crystals.ClassicalCrystals.TensorProducts method)
(sage.categories.coalgebras.Coalgebras.DualObjects method)
(sage.categories.coalgebras.Coalgebras.Super method)
(sage.categories.coalgebras.Coalgebras.TensorProducts method)
(sage.categories.coalgebras_with_basis.CoalgebrasWithBasis.Super method)
(sage.categories.commutative_rings.CommutativeRings.CartesianProducts method)
(sage.categories.covariant_functorial_construction.FunctorialConstructionCategory method)
(sage.categories.crystals.Crystals.TensorProducts method)
(sage.categories.cw_complexes.CWComplexes.Finite method)
(sage.categories.distributive_magmas_and_additive_magmas.DistributiveMagmasAndAdditiveMagmas.CartesianProducts method)
(sage.categories.division_rings.DivisionRings method)
(sage.categories.fields.Fields method)
(sage.categories.filtered_modules.FilteredModules method)
(sage.categories.finite_coxeter_groups.FiniteCoxeterGroups method)
(sage.categories.finite_crystals.FiniteCrystals method)
(sage.categories.finite_crystals.FiniteCrystals.TensorProducts method)
(sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.Cellular.TensorProducts method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.CartesianProducts method)
(sage.categories.finite_fields.FiniteFields method)
(sage.categories.finite_groups.FiniteGroups.Algebras method)
(sage.categories.finite_permutation_groups.FinitePermutationGroups method)
(sage.categories.finite_sets.FiniteSets.Algebras method)
(sage.categories.finite_sets.FiniteSets.Subquotients method)
(sage.categories.finitely_generated_semigroups.FinitelyGeneratedSemigroups method)
(sage.categories.generalized_coxeter_groups.GeneralizedCoxeterGroups.Finite method)
(sage.categories.graded_algebras.GradedAlgebras.SignedTensorProducts method)
(sage.categories.graded_algebras_with_basis.GradedAlgebrasWithBasis.SignedTensorProducts method)
(sage.categories.graded_coalgebras.GradedCoalgebras.SignedTensorProducts method)
(sage.categories.graded_coalgebras_with_basis.GradedCoalgebrasWithBasis.SignedTensorProducts method)
(sage.categories.graded_lie_algebras.GradedLieAlgebras.Stratified.FiniteDimensional method)
(sage.categories.group_algebras.GroupAlgebras method)
(sage.categories.groups.Groups.CartesianProducts method)
(sage.categories.hecke_modules.HeckeModules.Homsets method)
(sage.categories.highest_weight_crystals.HighestWeightCrystals.TensorProducts method)
(sage.categories.homsets.Homsets.Endset method)
(sage.categories.hopf_algebras.HopfAlgebras.TensorProducts method)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis.TensorProducts method)
(sage.categories.j_trivial_semigroups.JTrivialSemigroups method)
(sage.categories.l_trivial_semigroups.LTrivialSemigroups method)
(sage.categories.lie_algebras.LieAlgebras.FiniteDimensional method)
(sage.categories.loop_crystals.KirillovReshetikhinCrystals.TensorProducts method)
(sage.categories.magmas.Magmas.Algebras method)
(sage.categories.magmas.Magmas.CartesianProducts method)
(sage.categories.magmas.Magmas.Commutative.Algebras method)
(sage.categories.magmas.Magmas.Commutative.CartesianProducts method)
(sage.categories.magmas.Magmas.Unital.Algebras method)
(sage.categories.magmas.Magmas.Unital.CartesianProducts method)
(sage.categories.magmas.Magmas.Unital.Inverse.CartesianProducts method)
(sage.categories.magmas_and_additive_magmas.MagmasAndAdditiveMagmas.CartesianProducts method)
(sage.categories.manifolds.Manifolds.AlmostComplex method)
(sage.categories.manifolds.Manifolds.Analytic method)
(sage.categories.manifolds.Manifolds.Smooth method)
(sage.categories.modular_abelian_varieties.ModularAbelianVarieties.Homsets.Endset method)
(sage.categories.modules.Modules.CartesianProducts method)
(sage.categories.modules.Modules.FiniteDimensional method)
(sage.categories.modules.Modules.Homsets method)
(sage.categories.modules.Modules.Homsets.Endset method)
(sage.categories.modules.Modules.TensorProducts method)
(sage.categories.modules_with_basis.ModulesWithBasis.CartesianProducts method)
(sage.categories.modules_with_basis.ModulesWithBasis.DualObjects method)
(sage.categories.modules_with_basis.ModulesWithBasis.TensorProducts method)
(sage.categories.monoids.Monoids.Algebras method)
(sage.categories.monoids.Monoids.CartesianProducts method)
(sage.categories.quantum_group_representations.QuantumGroupRepresentations.TensorProducts method)
(sage.categories.quantum_group_representations.QuantumGroupRepresentations.WithBasis.TensorProducts method)
(sage.categories.r_trivial_semigroups.RTrivialSemigroups method)
(sage.categories.regular_crystals.RegularCrystals.TensorProducts method)
(sage.categories.regular_supercrystals.RegularSuperCrystals.TensorProducts method)
(sage.categories.semigroups.Semigroups.Algebras method)
(sage.categories.semigroups.Semigroups.CartesianProducts method)
(sage.categories.sets_cat.Sets.Algebras method)
(sage.categories.sets_cat.Sets.CartesianProducts method)
(sage.categories.sets_cat.Sets.WithRealizations method)
(sage.categories.super_algebras.SuperAlgebras method)
(sage.categories.super_algebras.SuperAlgebras.SignedTensorProducts method)
(sage.categories.super_algebras_with_basis.SuperAlgebrasWithBasis method)
(sage.categories.super_algebras_with_basis.SuperAlgebrasWithBasis.SignedTensorProducts method)
(sage.categories.super_modules.SuperModules method)
(sage.categories.supercommutative_algebras.SupercommutativeAlgebras.SignedTensorProducts method)
(sage.categories.vector_spaces.VectorSpaces.CartesianProducts method)
(sage.categories.vector_spaces.VectorSpaces.DualObjects method)
(sage.categories.vector_spaces.VectorSpaces.TensorProducts method)
(sage.categories.vector_spaces.VectorSpaces.WithBasis.CartesianProducts method)
(sage.categories.vector_spaces.VectorSpaces.WithBasis.TensorProducts method)
F
F (sage.categories.examples.with_realizations.SubsetAlgebra attribute)
f() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.examples.crystals.HighestWeightCrystalOfTypeA.Element method)
(sage.categories.examples.crystals.NaiveCrystal.Element method)
(sage.categories.quantum_group_representations.QuantumGroupRepresentations.WithBasis.ElementMethods method)
(sage.categories.triangular_kac_moody_algebras.TriangularKacMoodyAlgebras.ParentMethods method)
f_on_basis() (sage.categories.quantum_group_representations.QuantumGroupRepresentations.WithBasis.TensorProducts.ParentMethods method)
f_string() (sage.categories.crystals.Crystals.ElementMethods method)
Facade (sage.categories.sets_cat.Sets attribute)
Facade() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
facade_for() (sage.categories.facade_sets.FacadeSets.ParentMethods method)
(sage.categories.sets_cat.Sets.WithRealizations.ParentMethods method)
FacadeSets (class in sage.categories.facade_sets)
FacadeSets.ParentMethods (class in sage.categories.facade_sets)
faces() (sage.categories.graphs.Graphs.ParentMethods method)
(sage.categories.simplicial_complexes.SimplicialComplexes.ParentMethods method)
facets() (sage.categories.graphs.Graphs.ParentMethods method)
(sage.categories.simplicial_complexes.SimplicialComplexes.ParentMethods method)
factor() (sage.categories.fields.Fields.ElementMethods method)
(sage.categories.quotient_fields.QuotientFields.ElementMethods method)
fat_wedge() (sage.categories.simplicial_sets.SimplicialSets.Pointed.Finite.ParentMethods method)
Fields (class in sage.categories.fields)
Fields.ElementMethods (class in sage.categories.fields)
Fields.ParentMethods (class in sage.categories.fields)
Filtered (sage.categories.algebras.Algebras attribute)
(sage.categories.algebras_with_basis.AlgebrasWithBasis attribute)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis attribute)
(sage.categories.modules.Modules attribute)
(sage.categories.modules_with_basis.ModulesWithBasis attribute)
Filtered() (sage.categories.modules.Modules.SubcategoryMethods method)
FilteredAlgebras (class in sage.categories.filtered_algebras)
FilteredAlgebras.ParentMethods (class in sage.categories.filtered_algebras)
FilteredAlgebrasWithBasis (class in sage.categories.filtered_algebras_with_basis)
FilteredAlgebrasWithBasis.ElementMethods (class in sage.categories.filtered_algebras_with_basis)
FilteredAlgebrasWithBasis.ParentMethods (class in sage.categories.filtered_algebras_with_basis)
FilteredModules (class in sage.categories.filtered_modules)
FilteredModules.Connected (class in sage.categories.filtered_modules)
FilteredModules.SubcategoryMethods (class in sage.categories.filtered_modules)
FilteredModulesCategory (class in sage.categories.filtered_modules)
FilteredModulesWithBasis (class in sage.categories.filtered_modules_with_basis)
FilteredModulesWithBasis.ElementMethods (class in sage.categories.filtered_modules_with_basis)
FilteredModulesWithBasis.ParentMethods (class in sage.categories.filtered_modules_with_basis)
Finite (sage.categories.complex_reflection_groups.ComplexReflectionGroups attribute)
(sage.categories.coxeter_groups.CoxeterGroups attribute)
(sage.categories.crystals.Crystals attribute)
(sage.categories.enumerated_sets.EnumeratedSets attribute)
(sage.categories.fields.Fields attribute)
(sage.categories.groups.Groups attribute)
(sage.categories.lattice_posets.LatticePosets attribute)
(sage.categories.monoids.Monoids attribute)
(sage.categories.permutation_groups.PermutationGroups attribute)
(sage.categories.posets.Posets attribute)
(sage.categories.semigroups.Semigroups attribute)
(sage.categories.sets_cat.Sets attribute)
(sage.categories.weyl_groups.WeylGroups attribute)
Finite() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
Finite_extra_super_categories() (sage.categories.division_rings.DivisionRings method)
(sage.categories.h_trivial_semigroups.HTrivialSemigroups method)
FiniteComplexReflectionGroups (class in sage.categories.finite_complex_reflection_groups)
FiniteComplexReflectionGroups.ElementMethods (class in sage.categories.finite_complex_reflection_groups)
FiniteComplexReflectionGroups.Irreducible (class in sage.categories.finite_complex_reflection_groups)
FiniteComplexReflectionGroups.Irreducible.ParentMethods (class in sage.categories.finite_complex_reflection_groups)
FiniteComplexReflectionGroups.ParentMethods (class in sage.categories.finite_complex_reflection_groups)
FiniteComplexReflectionGroups.SubcategoryMethods (class in sage.categories.finite_complex_reflection_groups)
FiniteComplexReflectionGroups.WellGenerated (class in sage.categories.finite_complex_reflection_groups)
FiniteComplexReflectionGroups.WellGenerated.Irreducible (class in sage.categories.finite_complex_reflection_groups)
FiniteComplexReflectionGroups.WellGenerated.Irreducible.ParentMethods (class in sage.categories.finite_complex_reflection_groups)
FiniteComplexReflectionGroups.WellGenerated.ParentMethods (class in sage.categories.finite_complex_reflection_groups)
FiniteCoxeterGroups (class in sage.categories.finite_coxeter_groups)
FiniteCoxeterGroups.ElementMethods (class in sage.categories.finite_coxeter_groups)
FiniteCoxeterGroups.ParentMethods (class in sage.categories.finite_coxeter_groups)
FiniteCrystals (class in sage.categories.finite_crystals)
FiniteCrystals.TensorProducts (class in sage.categories.finite_crystals)
FiniteDimensional (sage.categories.algebras_with_basis.AlgebrasWithBasis attribute)
(sage.categories.graded_lie_algebras_with_basis.GradedLieAlgebrasWithBasis attribute)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis attribute)
(sage.categories.modules_with_basis.ModulesWithBasis attribute)
FiniteDimensional() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method)
(sage.categories.cw_complexes.CWComplexes.SubcategoryMethods method)
(sage.categories.manifolds.Manifolds.SubcategoryMethods method)
(sage.categories.modules.Modules.SubcategoryMethods method)
FiniteDimensionalAlgebrasWithBasis (class in sage.categories.finite_dimensional_algebras_with_basis)
FiniteDimensionalAlgebrasWithBasis.Cellular (class in sage.categories.finite_dimensional_algebras_with_basis)
FiniteDimensionalAlgebrasWithBasis.Cellular.ElementMethods (class in sage.categories.finite_dimensional_algebras_with_basis)
FiniteDimensionalAlgebrasWithBasis.Cellular.ParentMethods (class in sage.categories.finite_dimensional_algebras_with_basis)
FiniteDimensionalAlgebrasWithBasis.Cellular.TensorProducts (class in sage.categories.finite_dimensional_algebras_with_basis)
FiniteDimensionalAlgebrasWithBasis.Cellular.TensorProducts.ParentMethods (class in sage.categories.finite_dimensional_algebras_with_basis)
FiniteDimensionalAlgebrasWithBasis.ElementMethods (class in sage.categories.finite_dimensional_algebras_with_basis)
FiniteDimensionalAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_algebras_with_basis)
FiniteDimensionalAlgebrasWithBasis.SubcategoryMethods (class in sage.categories.finite_dimensional_algebras_with_basis)
FiniteDimensionalBialgebrasWithBasis() (in module sage.categories.finite_dimensional_bialgebras_with_basis)
FiniteDimensionalCoalgebrasWithBasis() (in module sage.categories.finite_dimensional_coalgebras_with_basis)
FiniteDimensionalGradedLieAlgebrasWithBasis (class in sage.categories.finite_dimensional_graded_lie_algebras_with_basis)
FiniteDimensionalGradedLieAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_graded_lie_algebras_with_basis)
FiniteDimensionalGradedLieAlgebrasWithBasis.Stratified (class in sage.categories.finite_dimensional_graded_lie_algebras_with_basis)
FiniteDimensionalGradedLieAlgebrasWithBasis.Stratified.ParentMethods (class in sage.categories.finite_dimensional_graded_lie_algebras_with_basis)
FiniteDimensionalHopfAlgebrasWithBasis (class in sage.categories.finite_dimensional_hopf_algebras_with_basis)
FiniteDimensionalHopfAlgebrasWithBasis.ElementMethods (class in sage.categories.finite_dimensional_hopf_algebras_with_basis)
FiniteDimensionalHopfAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_hopf_algebras_with_basis)
FiniteDimensionalLieAlgebrasWithBasis (class in sage.categories.finite_dimensional_lie_algebras_with_basis)
FiniteDimensionalLieAlgebrasWithBasis.ElementMethods (class in sage.categories.finite_dimensional_lie_algebras_with_basis)
FiniteDimensionalLieAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_lie_algebras_with_basis)
FiniteDimensionalLieAlgebrasWithBasis.Subobjects (class in sage.categories.finite_dimensional_lie_algebras_with_basis)
FiniteDimensionalLieAlgebrasWithBasis.Subobjects.ParentMethods (class in sage.categories.finite_dimensional_lie_algebras_with_basis)
FiniteDimensionalModulesWithBasis (class in sage.categories.finite_dimensional_modules_with_basis)
FiniteDimensionalModulesWithBasis.ElementMethods (class in sage.categories.finite_dimensional_modules_with_basis)
FiniteDimensionalModulesWithBasis.MorphismMethods (class in sage.categories.finite_dimensional_modules_with_basis)
FiniteDimensionalModulesWithBasis.ParentMethods (class in sage.categories.finite_dimensional_modules_with_basis)
FiniteDimensionalNilpotentLieAlgebrasWithBasis (class in sage.categories.finite_dimensional_nilpotent_lie_algebras_with_basis)
FiniteDimensionalNilpotentLieAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_nilpotent_lie_algebras_with_basis)
FiniteDimensionalSemisimpleAlgebrasWithBasis (class in sage.categories.finite_dimensional_semisimple_algebras_with_basis)
FiniteDimensionalSemisimpleAlgebrasWithBasis.Commutative (class in sage.categories.finite_dimensional_semisimple_algebras_with_basis)
FiniteDimensionalSemisimpleAlgebrasWithBasis.Commutative.ParentMethods (class in sage.categories.finite_dimensional_semisimple_algebras_with_basis)
FiniteDimensionalSemisimpleAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_semisimple_algebras_with_basis)
FiniteEnumeratedSets (class in sage.categories.finite_enumerated_sets)
FiniteEnumeratedSets.CartesianProducts (class in sage.categories.finite_enumerated_sets)
FiniteEnumeratedSets.CartesianProducts.ParentMethods (class in sage.categories.finite_enumerated_sets)
FiniteEnumeratedSets.IsomorphicObjects (class in sage.categories.finite_enumerated_sets)
FiniteEnumeratedSets.IsomorphicObjects.ParentMethods (class in sage.categories.finite_enumerated_sets)
FiniteEnumeratedSets.ParentMethods (class in sage.categories.finite_enumerated_sets)
FiniteFields (class in sage.categories.finite_fields)
FiniteFields.ElementMethods (class in sage.categories.finite_fields)
FiniteFields.ParentMethods (class in sage.categories.finite_fields)
FiniteGroups (class in sage.categories.finite_groups)
FiniteGroups.Algebras (class in sage.categories.finite_groups)
FiniteGroups.Algebras.ParentMethods (class in sage.categories.finite_groups)
FiniteGroups.ElementMethods (class in sage.categories.finite_groups)
FiniteGroups.ParentMethods (class in sage.categories.finite_groups)
FiniteLatticePosets (class in sage.categories.finite_lattice_posets)
FiniteLatticePosets.ParentMethods (class in sage.categories.finite_lattice_posets)
FinitelyGenerated() (sage.categories.magmas.Magmas.SubcategoryMethods method)
FinitelyGeneratedAsMagma (sage.categories.magmas.Magmas attribute)
(sage.categories.semigroups.Semigroups attribute)
FinitelyGeneratedAsMagma() (sage.categories.magmas.Magmas.SubcategoryMethods method)
FinitelyGeneratedMagmas (class in sage.categories.finitely_generated_magmas)
FinitelyGeneratedMagmas.ParentMethods (class in sage.categories.finitely_generated_magmas)
FinitelyGeneratedSemigroups (class in sage.categories.finitely_generated_semigroups)
FinitelyGeneratedSemigroups.Finite (class in sage.categories.finitely_generated_semigroups)
FinitelyGeneratedSemigroups.Finite.ParentMethods (class in sage.categories.finitely_generated_semigroups)
FinitelyGeneratedSemigroups.ParentMethods (class in sage.categories.finitely_generated_semigroups)
FiniteMonoids (class in sage.categories.finite_monoids)
FiniteMonoids.ElementMethods (class in sage.categories.finite_monoids)
FiniteMonoids.ParentMethods (class in sage.categories.finite_monoids)
FinitePermutationGroups (class in sage.categories.finite_permutation_groups)
FinitePermutationGroups.ElementMethods (class in sage.categories.finite_permutation_groups)
FinitePermutationGroups.ParentMethods (class in sage.categories.finite_permutation_groups)
FinitePosets (class in sage.categories.finite_posets)
FinitePosets.ParentMethods (class in sage.categories.finite_posets)
FiniteSemigroups (class in sage.categories.finite_semigroups)
FiniteSemigroups.ParentMethods (class in sage.categories.finite_semigroups)
FiniteSets (class in sage.categories.finite_sets)
FiniteSets.Algebras (class in sage.categories.finite_sets)
FiniteSets.ParentMethods (class in sage.categories.finite_sets)
FiniteSets.Subquotients (class in sage.categories.finite_sets)
FiniteSetsOrderedByInclusion (class in sage.categories.examples.posets)
FiniteSetsOrderedByInclusion.Element (class in sage.categories.examples.posets)
FiniteWeylGroups (class in sage.categories.finite_weyl_groups)
FiniteWeylGroups.ElementMethods (class in sage.categories.finite_weyl_groups)
FiniteWeylGroups.ParentMethods (class in sage.categories.finite_weyl_groups)
first() (sage.categories.enumerated_sets.EnumeratedSets.CartesianProducts.ParentMethods method)
(sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.map.FormalCompositeMap method)
first_descent() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
Flying() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method)
ForgetfulFunctor() (in module sage.categories.functor)
ForgetfulFunctor_generic (class in sage.categories.functor)
FormalCoercionMorphism (class in sage.categories.morphism)
FormalCompositeMap (class in sage.categories.map)
fraction_field() (sage.categories.fields.Fields.ParentMethods method)
FractionField (class in sage.categories.pushout)
free() (sage.categories.groups.Groups static method)
(sage.categories.groups.Groups.Commutative static method)
(sage.categories.monoids.Monoids static method)
(sage.categories.monoids.Monoids.Commutative static method)
FreeAlgebra (class in sage.categories.examples.algebras_with_basis)
FreeCommutativeAdditiveMonoid (class in sage.categories.examples.commutative_additive_monoids)
FreeCommutativeAdditiveMonoid.Element (class in sage.categories.examples.commutative_additive_monoids)
FreeCommutativeAdditiveSemigroup (class in sage.categories.examples.commutative_additive_semigroups)
FreeCommutativeAdditiveSemigroup.Element (class in sage.categories.examples.commutative_additive_semigroups)
FreeMonoid (class in sage.categories.examples.monoids)
FreeMonoid.Element (class in sage.categories.examples.monoids)
FreeSemigroup (class in sage.categories.examples.semigroups)
FreeSemigroup.Element (class in sage.categories.examples.semigroups)
from_base_ring() (sage.categories.unital_algebras.UnitalAlgebras.ParentMethods method)
(sage.categories.unital_algebras.UnitalAlgebras.WithBasis.ParentMethods method)
from_base_ring_from_one_basis() (sage.categories.unital_algebras.UnitalAlgebras.WithBasis.ParentMethods method)
from_graded_conversion() (sage.categories.filtered_algebras_with_basis.FilteredAlgebrasWithBasis.ParentMethods method)
(sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ParentMethods method)
from_reduced_word() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method)
from_set() (sage.categories.examples.with_realizations.SubsetAlgebra.Bases.ParentMethods method)
from_vector() (sage.categories.examples.finite_dimensional_lie_algebras_with_basis.AbelianLieAlgebra method)
(sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
(sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.ParentMethods method)
(sage.categories.lie_algebras.LieAlgebras.ParentMethods method)
(sage.categories.lie_algebras_with_basis.LieAlgebrasWithBasis.ParentMethods method)
full_super_categories() (sage.categories.category.Category method)
FunctionFields (class in sage.categories.function_fields)
FunctionFields.ElementMethods (class in sage.categories.function_fields)
FunctionFields.ParentMethods (class in sage.categories.function_fields)
Functor (class in sage.categories.functor)
FunctorialConstructionCategory (class in sage.categories.covariant_functorial_construction)
fundamental_group() (sage.categories.simplicial_sets.SimplicialSets.Pointed.ParentMethods method)
fuss_catalan_number() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.Irreducible.ParentMethods method)
G
G (sage.categories.action.Action attribute)
gcd() (sage.categories.discrete_valuation.DiscreteValuationRings.ElementMethods method)
(sage.categories.euclidean_domains.EuclideanDomains.ElementMethods method)
(sage.categories.fields.Fields.ElementMethods method)
(sage.categories.quotient_fields.QuotientFields.ElementMethods method)
gcd_free_basis() (sage.categories.euclidean_domains.EuclideanDomains.ParentMethods method)
GcdDomains (class in sage.categories.gcd_domains)
GcdDomains.ElementMethods (class in sage.categories.gcd_domains)
GcdDomains.ParentMethods (class in sage.categories.gcd_domains)
ge() (sage.categories.posets.Posets.ParentMethods method)
gen() (sage.categories.semigroups.Semigroups.Algebras.ParentMethods method)
generalized_noncrossing_partitions() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.Irreducible.ParentMethods method)
GeneralizedCoxeterGroups (class in sage.categories.generalized_coxeter_groups)
GeneralizedCoxeterGroups.Finite (class in sage.categories.generalized_coxeter_groups)
generating_series() (sage.categories.examples.sets_with_grading.NonNegativeIntegers method)
(sage.categories.sets_with_grading.SetsWithGrading.ParentMethods method)
gens() (sage.categories.examples.finite_dimensional_lie_algebras_with_basis.AbelianLieAlgebra method)
(sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.ParentMethods method)
(sage.categories.pushout.PermutationGroupFunctor method)
(sage.categories.semigroups.Semigroups.Algebras.ParentMethods method)
genuine_highest_weight_vectors() (sage.categories.regular_supercrystals.RegularSuperCrystals.ParentMethods method)
genuine_lowest_weight_vectors() (sage.categories.regular_supercrystals.RegularSuperCrystals.ParentMethods method)
get_axiom_index() (in module sage.categories.category_cy_helper)
Graded (sage.categories.algebras.Algebras attribute)
(sage.categories.algebras_with_basis.AlgebrasWithBasis attribute)
(sage.categories.coalgebras.Coalgebras attribute)
(sage.categories.coalgebras_with_basis.CoalgebrasWithBasis attribute)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis attribute)
(sage.categories.lie_algebras.LieAlgebras attribute)
(sage.categories.lie_algebras_with_basis.LieAlgebrasWithBasis attribute)
(sage.categories.modules.Modules attribute)
(sage.categories.modules_with_basis.ModulesWithBasis attribute)
Graded() (sage.categories.modules.Modules.SubcategoryMethods method)
graded_algebra() (sage.categories.filtered_algebras.FilteredAlgebras.ParentMethods method)
(sage.categories.filtered_algebras_with_basis.FilteredAlgebrasWithBasis.ParentMethods method)
(sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ParentMethods method)
(sage.categories.graded_algebras.GradedAlgebras.ParentMethods method)
(sage.categories.graded_algebras_with_basis.GradedAlgebrasWithBasis.ParentMethods method)
(sage.categories.super_algebras.SuperAlgebras.ParentMethods method)
(sage.categories.super_algebras_with_basis.SuperAlgebrasWithBasis.ParentMethods method)
graded_component() (sage.categories.examples.sets_with_grading.NonNegativeIntegers method)
(sage.categories.sets_with_grading.SetsWithGrading.ParentMethods method)
GradedAlgebras (class in sage.categories.graded_algebras)
GradedAlgebras.ElementMethods (class in sage.categories.graded_algebras)
GradedAlgebras.ParentMethods (class in sage.categories.graded_algebras)
GradedAlgebras.SignedTensorProducts (class in sage.categories.graded_algebras)
GradedAlgebras.SubcategoryMethods (class in sage.categories.graded_algebras)
GradedAlgebrasWithBasis (class in sage.categories.graded_algebras_with_basis)
GradedAlgebrasWithBasis.ElementMethods (class in sage.categories.graded_algebras_with_basis)
GradedAlgebrasWithBasis.ParentMethods (class in sage.categories.graded_algebras_with_basis)
GradedAlgebrasWithBasis.SignedTensorProducts (class in sage.categories.graded_algebras_with_basis)
GradedAlgebrasWithBasis.SignedTensorProducts.ParentMethods (class in sage.categories.graded_algebras_with_basis)
GradedBialgebras() (in module sage.categories.graded_bialgebras)
GradedBialgebrasWithBasis() (in module sage.categories.graded_bialgebras_with_basis)
GradedCoalgebras (class in sage.categories.graded_coalgebras)
GradedCoalgebras.SignedTensorProducts (class in sage.categories.graded_coalgebras)
GradedCoalgebras.SubcategoryMethods (class in sage.categories.graded_coalgebras)
GradedCoalgebrasWithBasis (class in sage.categories.graded_coalgebras_with_basis)
GradedCoalgebrasWithBasis.SignedTensorProducts (class in sage.categories.graded_coalgebras_with_basis)
GradedConnectedCombinatorialHopfAlgebraWithPrimitiveGenerator (class in sage.categories.examples.graded_connected_hopf_algebras_with_basis)
GradedHopfAlgebras() (in module sage.categories.graded_hopf_algebras)
GradedHopfAlgebrasWithBasis (class in sage.categories.graded_hopf_algebras_with_basis)
GradedHopfAlgebrasWithBasis.Connected (class in sage.categories.graded_hopf_algebras_with_basis)
GradedHopfAlgebrasWithBasis.Connected.ElementMethods (class in sage.categories.graded_hopf_algebras_with_basis)
GradedHopfAlgebrasWithBasis.Connected.ParentMethods (class in sage.categories.graded_hopf_algebras_with_basis)
GradedHopfAlgebrasWithBasis.ElementMethods (class in sage.categories.graded_hopf_algebras_with_basis)
GradedHopfAlgebrasWithBasis.ParentMethods (class in sage.categories.graded_hopf_algebras_with_basis)
GradedHopfAlgebrasWithBasis.WithRealizations (class in sage.categories.graded_hopf_algebras_with_basis)
GradedLieAlgebras (class in sage.categories.graded_lie_algebras)
GradedLieAlgebras.Stratified (class in sage.categories.graded_lie_algebras)
GradedLieAlgebras.Stratified.FiniteDimensional (class in sage.categories.graded_lie_algebras)
GradedLieAlgebras.SubcategoryMethods (class in sage.categories.graded_lie_algebras)
GradedLieAlgebrasWithBasis (class in sage.categories.graded_lie_algebras_with_basis)
GradedModules (class in sage.categories.graded_modules)
GradedModules.ElementMethods (class in sage.categories.graded_modules)
GradedModules.ParentMethods (class in sage.categories.graded_modules)
GradedModulesCategory (class in sage.categories.graded_modules)
GradedModulesWithBasis (class in sage.categories.graded_modules_with_basis)
GradedModulesWithBasis.ElementMethods (class in sage.categories.graded_modules_with_basis)
GradedModulesWithBasis.ParentMethods (class in sage.categories.graded_modules_with_basis)
GradedPartitionModule (class in sage.categories.examples.graded_modules_with_basis)
grading() (sage.categories.examples.sets_with_grading.NonNegativeIntegers method)
(sage.categories.sets_with_grading.SetsWithGrading.ParentMethods method)
grading_set() (sage.categories.sets_with_grading.SetsWithGrading.ParentMethods method)
Graphs (class in sage.categories.graphs)
Graphs.ParentMethods (class in sage.categories.graphs)
grassmannian_elements() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
group() (sage.categories.additive_groups.AdditiveGroups.Algebras.ParentMethods method)
(sage.categories.algebra_functor.GroupAlgebraFunctor method)
(sage.categories.group_algebras.GroupAlgebras.ParentMethods method)
group_generators() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method)
(sage.categories.groups.Groups.CartesianProducts.ParentMethods method)
(sage.categories.groups.Groups.ParentMethods method)
GroupAlgebraFunctor (class in sage.categories.algebra_functor)
GroupAlgebras (class in sage.categories.group_algebras)
GroupAlgebras.ElementMethods (class in sage.categories.group_algebras)
GroupAlgebras.ParentMethods (class in sage.categories.group_algebras)
Groupoid (class in sage.categories.groupoid)
Groups (class in sage.categories.groups)
Groups.CartesianProducts (class in sage.categories.groups)
Groups.CartesianProducts.ElementMethods (class in sage.categories.groups)
Groups.CartesianProducts.ParentMethods (class in sage.categories.groups)
Groups.Commutative (class in sage.categories.groups)
Groups.ElementMethods (class in sage.categories.groups)
Groups.ParentMethods (class in sage.categories.groups)
Groups.Topological (class in sage.categories.groups)
GSets (class in sage.categories.g_sets)
gt() (sage.categories.posets.Posets.ParentMethods method)
H
has_descent() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
has_full_support() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
has_left_descent() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
has_right_descent() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.examples.finite_coxeter_groups.DihedralGroup.Element method)
(sage.categories.examples.finite_weyl_groups.SymmetricGroup.Element method)
HeckeModules (class in sage.categories.hecke_modules)
HeckeModules.Homsets (class in sage.categories.hecke_modules)
HeckeModules.Homsets.ParentMethods (class in sage.categories.hecke_modules)
HeckeModules.ParentMethods (class in sage.categories.hecke_modules)
highest_weight_vector() (sage.categories.highest_weight_crystals.HighestWeightCrystals.ParentMethods method)
highest_weight_vectors() (sage.categories.highest_weight_crystals.HighestWeightCrystals.ParentMethods method)
(sage.categories.highest_weight_crystals.HighestWeightCrystals.TensorProducts.ParentMethods method)
(sage.categories.regular_supercrystals.RegularSuperCrystals.ParentMethods method)
HighestWeightCrystalHomset (class in sage.categories.highest_weight_crystals)
HighestWeightCrystalMorphism (class in sage.categories.highest_weight_crystals)
HighestWeightCrystalOfTypeA (class in sage.categories.examples.crystals)
HighestWeightCrystalOfTypeA.Element (class in sage.categories.examples.crystals)
HighestWeightCrystals (class in sage.categories.highest_weight_crystals)
HighestWeightCrystals.ElementMethods (class in sage.categories.highest_weight_crystals)
HighestWeightCrystals.ParentMethods (class in sage.categories.highest_weight_crystals)
HighestWeightCrystals.TensorProducts (class in sage.categories.highest_weight_crystals)
HighestWeightCrystals.TensorProducts.ParentMethods (class in sage.categories.highest_weight_crystals)
hochschild_complex() (sage.categories.algebras_with_basis.AlgebrasWithBasis.ParentMethods method)
holomorph() (sage.categories.groups.Groups.ParentMethods method)
Hom() (in module sage.categories.homset)
hom() (in module sage.categories.homset)
homogeneous_component() (sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ElementMethods method)
(sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ParentMethods method)
homogeneous_component_as_submodule() (sage.categories.finite_dimensional_graded_lie_algebras_with_basis.FiniteDimensionalGradedLieAlgebrasWithBasis.ParentMethods method)
homogeneous_component_basis() (sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ParentMethods method)
homogeneous_degree() (sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ElementMethods method)
homology() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
Homset (class in sage.categories.homset)
homset_category() (sage.categories.homset.Homset method)
Homsets (class in sage.categories.homsets)
Homsets() (sage.categories.objects.Objects.SubcategoryMethods method)
Homsets.Endset (class in sage.categories.homsets)
Homsets.Endset.ParentMethods (class in sage.categories.homsets)
Homsets.ParentMethods (class in sage.categories.homsets)
Homsets.SubcategoryMethods (class in sage.categories.homsets)
HomsetsCategory (class in sage.categories.homsets)
HomsetsOf (class in sage.categories.homsets)
HomsetWithBase (class in sage.categories.homset)
HopfAlgebras (class in sage.categories.hopf_algebras)
HopfAlgebras.DualCategory (class in sage.categories.hopf_algebras)
HopfAlgebras.DualCategory.ParentMethods (class in sage.categories.hopf_algebras)
HopfAlgebras.ElementMethods (class in sage.categories.hopf_algebras)
HopfAlgebras.Morphism (class in sage.categories.hopf_algebras)
HopfAlgebras.ParentMethods (class in sage.categories.hopf_algebras)
HopfAlgebras.Realizations (class in sage.categories.hopf_algebras)
HopfAlgebras.Realizations.ParentMethods (class in sage.categories.hopf_algebras)
HopfAlgebras.Super (class in sage.categories.hopf_algebras)
HopfAlgebras.Super.ElementMethods (class in sage.categories.hopf_algebras)
HopfAlgebras.TensorProducts (class in sage.categories.hopf_algebras)
HopfAlgebras.TensorProducts.ElementMethods (class in sage.categories.hopf_algebras)
HopfAlgebras.TensorProducts.ParentMethods (class in sage.categories.hopf_algebras)
HopfAlgebrasWithBasis (class in sage.categories.hopf_algebras_with_basis)
HopfAlgebrasWithBasis.ElementMethods (class in sage.categories.hopf_algebras_with_basis)
HopfAlgebrasWithBasis.ParentMethods (class in sage.categories.hopf_algebras_with_basis)
HopfAlgebrasWithBasis.TensorProducts (class in sage.categories.hopf_algebras_with_basis)
HopfAlgebrasWithBasis.TensorProducts.ElementMethods (class in sage.categories.hopf_algebras_with_basis)
HopfAlgebrasWithBasis.TensorProducts.ParentMethods (class in sage.categories.hopf_algebras_with_basis)
HTrivial (sage.categories.semigroups.Semigroups attribute)
HTrivial() (sage.categories.semigroups.Semigroups.SubcategoryMethods method)
HTrivialSemigroups (class in sage.categories.h_trivial_semigroups)
hyperplane_index_set() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method)
I
ideal() (sage.categories.examples.finite_dimensional_lie_algebras_with_basis.AbelianLieAlgebra method)
(sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
(sage.categories.finitely_generated_semigroups.FinitelyGeneratedSemigroups.ParentMethods method)
(sage.categories.lie_algebras.LieAlgebras.ParentMethods method)
(sage.categories.rings.Rings.ParentMethods method)
ideal_monoid() (sage.categories.rings.Rings.ParentMethods method)
idempotent_lift() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
idempotents() (sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method)
IdempotentSemigroups (class in sage.categories.examples.semigroups_cython)
IdempotentSemigroups.ElementMethods (class in sage.categories.examples.semigroups_cython)
identity() (sage.categories.homset.Homset method)
IdentityConstructionFunctor (class in sage.categories.pushout)
IdentityFunctor() (in module sage.categories.functor)
IdentityFunctor_generic (class in sage.categories.functor)
IdentityMorphism (class in sage.categories.morphism)
im_gens() (sage.categories.crystals.CrystalMorphismByGenerators method)
image() (sage.categories.crystals.CrystalMorphismByGenerators method)
(sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.MorphismMethods method)
image_basis() (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.MorphismMethods method)
IncompleteSubquotientSemigroup (class in sage.categories.examples.semigroups)
IncompleteSubquotientSemigroup.Element (class in sage.categories.examples.semigroups)
index_set() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method)
(sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
(sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.crystals.Crystals.ParentMethods method)
(sage.categories.examples.finite_coxeter_groups.DihedralGroup method)
(sage.categories.examples.finite_weyl_groups.SymmetricGroup method)
(sage.categories.quantum_group_representations.QuantumGroupRepresentations.ParentMethods method)
IndexedPolynomialRing (class in sage.categories.examples.lie_algebras_with_basis)
indices() (sage.categories.examples.with_realizations.SubsetAlgebra method)
indices_key() (sage.categories.examples.with_realizations.SubsetAlgebra method)
induced_graded_map() (sage.categories.filtered_algebras_with_basis.FilteredAlgebrasWithBasis.ParentMethods method)
(sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ParentMethods method)
Infinite (sage.categories.enumerated_sets.EnumeratedSets attribute)
Infinite() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
InfiniteEnumeratedSets (class in sage.categories.infinite_enumerated_sets)
InfiniteEnumeratedSets.ParentMethods (class in sage.categories.infinite_enumerated_sets)
InfinitePolynomialFunctor (class in sage.categories.pushout)
inject_shorthands() (sage.categories.sets_cat.Sets.WithRealizations.ParentMethods method)
inner_derivations_basis() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
IntegerModMonoid (class in sage.categories.examples.finite_monoids)
IntegerModMonoid.Element (class in sage.categories.examples.finite_monoids)
IntegersCompletion (class in sage.categories.examples.facade_sets)
IntegralDomains (class in sage.categories.integral_domains)
IntegralDomains.ElementMethods (class in sage.categories.integral_domains)
IntegralDomains.ParentMethods (class in sage.categories.integral_domains)
Inverse (sage.categories.monoids.Monoids attribute)
inverse() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ElementMethods method)
Inverse() (sage.categories.magmas.Magmas.Unital.SubcategoryMethods method)
inverse() (sage.categories.map.Section method)
Inverse_extra_super_categories() (sage.categories.h_trivial_semigroups.HTrivialSemigroups method)
inverse_of_unit() (sage.categories.fields.Fields.ElementMethods method)
(sage.categories.rings.Rings.ElementMethods method)
InverseAction (class in sage.categories.action)
inversion_arrangement() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
inversion_sequence() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
inversions() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
inversions_as_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
Irreducible() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.SubcategoryMethods method)
irreducible_component_index_sets() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method)
irreducible_components() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.Irreducible.ParentMethods method)
(sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method)
irreducibles_poset() (sage.categories.finite_lattice_posets.FiniteLatticePosets.ParentMethods method)
is_abelian() (sage.categories.category.Category method)
(sage.categories.category_types.AbelianCategory method)
(sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
(sage.categories.lie_algebras.LieAlgebras.ParentMethods method)
(sage.categories.modules_with_basis.ModulesWithBasis method)
(sage.categories.vector_spaces.VectorSpaces.WithBasis method)
is_affine_grassmannian() (sage.categories.affine_weyl_groups.AffineWeylGroups.ElementMethods method)
is_antichain_of_poset() (sage.categories.posets.Posets.ParentMethods method)
is_Category() (in module sage.categories.category)
is_central() (sage.categories.monoids.Monoids.Algebras.ElementMethods method)
is_chain_of_poset() (sage.categories.posets.Posets.ParentMethods method)
is_commutative() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
(sage.categories.lie_algebras.LieAlgebras.ParentMethods method)
(sage.categories.magmas.Magmas.Commutative.ParentMethods method)
is_connected() (sage.categories.crystals.Crystals.ParentMethods method)
is_construction_defined_by_base() (sage.categories.covariant_functorial_construction.CovariantConstructionCategory method)
is_coxeter_element() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ElementMethods method)
is_coxeter_sortable() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
is_embedding() (sage.categories.crystals.Crystals.MorphismMethods method)
is_empty() (sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.ParentMethods method)
(sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.magmas.Magmas.Unital.ParentMethods method)
(sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method)
(sage.categories.sets_cat.Sets.Infinite.ParentMethods method)
is_endomorphism() (sage.categories.morphism.Morphism method)
is_endomorphism_set() (sage.categories.homsets.Homsets.Endset.ParentMethods method)
(sage.categories.homsets.Homsets.ParentMethods method)
is_Endset() (in module sage.categories.homset)
is_euclidean_domain() (sage.categories.euclidean_domains.EuclideanDomains.ParentMethods method)
is_even() (sage.categories.super_modules.SuperModules.ElementMethods method)
is_even_odd() (sage.categories.super_modules.SuperModules.ElementMethods method)
(sage.categories.super_modules_with_basis.SuperModulesWithBasis.ElementMethods method)
is_field() (sage.categories.fields.Fields.ParentMethods method)
(sage.categories.magmas.Magmas.Algebras.ParentMethods method)
is_finite() (sage.categories.finite_sets.FiniteSets.ParentMethods method)
(sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
(sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method)
(sage.categories.sets_cat.Sets.Infinite.ParentMethods method)
(sage.categories.simplicial_sets.SimplicialSets.ParentMethods method)
is_full_subcategory() (sage.categories.category.Category method)
is_Functor() (in module sage.categories.functor)
is_genuine_highest_weight() (sage.categories.regular_supercrystals.RegularSuperCrystals.ElementMethods method)
is_genuine_lowest_weight() (sage.categories.regular_supercrystals.RegularSuperCrystals.ElementMethods method)
is_grassmannian() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
is_highest_weight() (sage.categories.crystals.Crystals.ElementMethods method)
is_homogeneous() (sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ElementMethods method)
is_Homset() (in module sage.categories.homset)
is_ideal() (sage.categories.examples.finite_dimensional_lie_algebras_with_basis.AbelianLieAlgebra method)
(sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
(sage.categories.lie_algebras.LieAlgebras.ParentMethods method)
is_idempotent() (sage.categories.examples.semigroups.LeftZeroSemigroup.Element method)
(sage.categories.examples.semigroups_cython.IdempotentSemigroups.ElementMethods method)
(sage.categories.magmas.Magmas.ElementMethods method)
is_identity() (sage.categories.morphism.IdentityMorphism method)
(sage.categories.morphism.Morphism method)
is_identity_decomposition_into_orthogonal_idempotents() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
is_injective() (sage.categories.crystals.CrystalMorphism method)
(sage.categories.map.FormalCompositeMap method)
(sage.categories.morphism.IdentityMorphism method)
(sage.categories.rings.Rings.MorphismMethods method)
(sage.categories.sets_cat.Sets.MorphismMethods method)
is_integral_domain() (sage.categories.group_algebras.GroupAlgebras.ParentMethods method)
(sage.categories.integral_domains.IntegralDomains.ParentMethods method)
is_integrally_closed() (sage.categories.fields.Fields.ParentMethods method)
is_irreducible() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method)
is_isomorphism() (sage.categories.crystals.Crystals.MorphismMethods method)
(sage.categories.regular_crystals.RegularCrystals.MorphismMethods method)
is_lattice() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
is_lattice_morphism() (sage.categories.finite_lattice_posets.FiniteLatticePosets.ParentMethods method)
is_left() (sage.categories.action.Action method)
is_lowest_weight() (sage.categories.crystals.Crystals.ElementMethods method)
is_Map() (in module sage.categories.map)
is_Morphism() (in module sage.categories.morphism)
is_nilpotent() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
(sage.categories.finite_dimensional_nilpotent_lie_algebras_with_basis.FiniteDimensionalNilpotentLieAlgebrasWithBasis.ParentMethods method)
(sage.categories.lie_algebras.LieAlgebras.Nilpotent.ParentMethods method)
(sage.categories.lie_algebras.LieAlgebras.ParentMethods method)
is_odd() (sage.categories.super_modules.SuperModules.ElementMethods method)
is_one() (sage.categories.monoids.Monoids.ElementMethods method)
is_order_filter() (sage.categories.posets.Posets.ParentMethods method)
is_order_ideal() (sage.categories.posets.Posets.ParentMethods method)
is_parent_of() (sage.categories.facade_sets.FacadeSets.ParentMethods method)
(sage.categories.sets_cat.Sets.ParentMethods method)
is_perfect() (sage.categories.fields.Fields.ParentMethods method)
(sage.categories.loop_crystals.KirillovReshetikhinCrystals.ParentMethods method)
is_pieri_factor() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
is_pointed() (sage.categories.simplicial_sets.SimplicialSets.ParentMethods method)
is_poset_isomorphism() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
is_poset_morphism() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
is_prime() (sage.categories.examples.sets_cat.PrimeNumbers_Abstract.Element method)
is_real() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method)
(sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
is_reducible() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method)
is_reflection() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ElementMethods method)
is_ring() (sage.categories.rings.Rings.ParentMethods method)
is_self_dual() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
is_semisimple() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
is_simply_connected() (sage.categories.simplicial_sets.SimplicialSets.Pointed.ParentMethods method)
is_solvable() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
(sage.categories.lie_algebras.LieAlgebras.ParentMethods method)
is_strict() (sage.categories.crystals.Crystals.MorphismMethods method)
is_subcategory() (sage.categories.category.Category method)
(sage.categories.category.JoinCategory method)
is_super_homogeneous() (sage.categories.super_modules_with_basis.SuperModulesWithBasis.ElementMethods method)
is_surjective() (sage.categories.crystals.CrystalMorphism method)
(sage.categories.map.FormalCompositeMap method)
(sage.categories.map.Map method)
(sage.categories.morphism.IdentityMorphism method)
is_unique_factorization_domain() (sage.categories.unique_factorization_domains.UniqueFactorizationDomains.ParentMethods method)
is_unit() (sage.categories.discrete_valuation.DiscreteValuationRings.ElementMethods method)
(sage.categories.fields.Fields.ElementMethods method)
(sage.categories.rings.Rings.ElementMethods method)
is_well_generated() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.ParentMethods method)
is_zero() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
(sage.categories.rings.Rings.ParentMethods method)
IsomorphicObjectOfFiniteEnumeratedSet (class in sage.categories.examples.finite_enumerated_sets)
IsomorphicObjects() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
IsomorphicObjectsCategory (class in sage.categories.isomorphic_objects)
isotypic_projective_modules() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
iterator_range() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method)
J
j_classes() (sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method)
j_classes_of_idempotents() (sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method)
j_transversal_of_idempotents() (sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method)
join() (sage.categories.category.Category static method)
(sage.categories.lattice_posets.LatticePosets.ParentMethods method)
join_as_tuple() (in module sage.categories.category_cy_helper)
join_irreducibles() (sage.categories.finite_lattice_posets.FiniteLatticePosets.ParentMethods method)
join_irreducibles_poset() (sage.categories.finite_lattice_posets.FiniteLatticePosets.ParentMethods method)
JoinCategory (class in sage.categories.category)
JTrivial (sage.categories.semigroups.Semigroups attribute)
JTrivial() (sage.categories.magmas.Magmas.SubcategoryMethods method)
(sage.categories.semigroups.Semigroups.SubcategoryMethods method)
JTrivialSemigroups (class in sage.categories.j_trivial_semigroups)
K
K() (sage.categories.quantum_group_representations.QuantumGroupRepresentations.WithBasis.ElementMethods method)
K_on_basis() (sage.categories.quantum_group_representations.QuantumGroupRepresentations.WithBasis.TensorProducts.ParentMethods method)
KacMoodyAlgebras (class in sage.categories.kac_moody_algebras)
KacMoodyAlgebras.ParentMethods (class in sage.categories.kac_moody_algebras)
kernel() (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.MorphismMethods method)
kernel_basis() (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.MorphismMethods method)
killing_form() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
(sage.categories.lie_algebras.LieAlgebras.ElementMethods method)
(sage.categories.lie_algebras.LieAlgebras.ParentMethods method)
killing_form_matrix() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
killing_matrix() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
KirillovReshetikhinCrystals (class in sage.categories.loop_crystals)
KirillovReshetikhinCrystals.ElementMethods (class in sage.categories.loop_crystals)
KirillovReshetikhinCrystals.ParentMethods (class in sage.categories.loop_crystals)
KirillovReshetikhinCrystals.TensorProducts (class in sage.categories.loop_crystals)
KirillovReshetikhinCrystals.TensorProducts.ElementMethods (class in sage.categories.loop_crystals)
KirillovReshetikhinCrystals.TensorProducts.ParentMethods (class in sage.categories.loop_crystals)
KroneckerQuiverPathAlgebra (class in sage.categories.examples.finite_dimensional_algebras_with_basis)
L
Lambda() (sage.categories.crystals.Crystals.ParentMethods method)
last() (sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.CartesianProducts.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method)
latex() (sage.categories.crystals.Crystals.ParentMethods method)
latex_file() (sage.categories.crystals.Crystals.ParentMethods method)
LatticePosets (class in sage.categories.lattice_posets)
LatticePosets.ParentMethods (class in sage.categories.lattice_posets)
LaurentPolynomialFunctor (class in sage.categories.pushout)
lcm() (sage.categories.discrete_valuation.DiscreteValuationRings.ElementMethods method)
(sage.categories.fields.Fields.ElementMethods method)
(sage.categories.quotient_fields.QuotientFields.ElementMethods method)
le() (sage.categories.examples.posets.FiniteSetsOrderedByInclusion method)
(sage.categories.examples.posets.PositiveIntegersOrderedByDivisibilityFacade method)
(sage.categories.posets.Posets.ParentMethods method)
leading_coefficient() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
leading_item() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
leading_monomial() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
leading_support() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
leading_term() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
left_base_ring() (sage.categories.bimodules.Bimodules method)
left_domain() (sage.categories.action.Action method)
left_inversions_as_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
left_pieri_factorizations() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
left_precomposition (sage.categories.action.PrecomposedAction attribute)
LeftModules (class in sage.categories.left_modules)
LeftModules.ElementMethods (class in sage.categories.left_modules)
LeftModules.ParentMethods (class in sage.categories.left_modules)
LeftRegularBand (class in sage.categories.examples.finite_semigroups)
LeftRegularBand.Element (class in sage.categories.examples.finite_semigroups)
LeftZeroSemigroup (class in sage.categories.examples.semigroups)
(class in sage.categories.examples.semigroups_cython)
LeftZeroSemigroup.Element (class in sage.categories.examples.semigroups)
LeftZeroSemigroupElement (class in sage.categories.examples.semigroups_cython)
length() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
level() (sage.categories.loop_crystals.KirillovReshetikhinCrystals.ParentMethods method)
Lie (sage.categories.groups.Groups attribute)
lie_algebra_generators() (sage.categories.examples.finite_dimensional_lie_algebras_with_basis.AbelianLieAlgebra method)
(sage.categories.examples.lie_algebras.LieAlgebraFromAssociative method)
(sage.categories.examples.lie_algebras_with_basis.AbelianLieAlgebra method)
lie_group() (sage.categories.finite_dimensional_nilpotent_lie_algebras_with_basis.FiniteDimensionalNilpotentLieAlgebrasWithBasis.ParentMethods method)
(sage.categories.lie_algebras.LieAlgebras.ParentMethods method)
LieAlgebraFromAssociative (class in sage.categories.examples.lie_algebras)
LieAlgebraFromAssociative.Element (class in sage.categories.examples.lie_algebras)
LieAlgebras (class in sage.categories.lie_algebras)
LieAlgebras.ElementMethods (class in sage.categories.lie_algebras)
LieAlgebras.FiniteDimensional (class in sage.categories.lie_algebras)
LieAlgebras.Nilpotent (class in sage.categories.lie_algebras)
LieAlgebras.Nilpotent.ParentMethods (class in sage.categories.lie_algebras)
LieAlgebras.ParentMethods (class in sage.categories.lie_algebras)
LieAlgebras.SubcategoryMethods (class in sage.categories.lie_algebras)
LieAlgebrasWithBasis (class in sage.categories.lie_algebras_with_basis)
LieAlgebrasWithBasis.ElementMethods (class in sage.categories.lie_algebras_with_basis)
LieAlgebrasWithBasis.ParentMethods (class in sage.categories.lie_algebras_with_basis)
LieGroups (class in sage.categories.lie_groups)
lift() (sage.categories.examples.finite_dimensional_lie_algebras_with_basis.AbelianLieAlgebra.Element method)
(sage.categories.examples.finite_enumerated_sets.IsomorphicObjectOfFiniteEnumeratedSet method)
(sage.categories.examples.lie_algebras_with_basis.AbelianLieAlgebra.Element method)
(sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
(sage.categories.lie_algebras.LieAlgebras.ElementMethods method)
(sage.categories.lie_algebras.LieAlgebras.ParentMethods method)
(sage.categories.lie_algebras_with_basis.LieAlgebrasWithBasis.ElementMethods method)
(sage.categories.sets_cat.Sets.Subquotients.ElementMethods method)
(sage.categories.sets_cat.Sets.Subquotients.ParentMethods method)
lift_to_precision() (sage.categories.complete_discrete_valuation.CompleteDiscreteValuationRings.ElementMethods method)
LiftMorphism (class in sage.categories.lie_algebras)
linear_combination() (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
list() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method)
(sage.categories.infinite_enumerated_sets.InfiniteEnumeratedSets.ParentMethods method)
local_energy_function() (sage.categories.loop_crystals.KirillovReshetikhinCrystals.ParentMethods method)
LocalEnergyFunction (class in sage.categories.loop_crystals)
long_element() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
LoopCrystals (class in sage.categories.loop_crystals)
LoopCrystals.ParentMethods (class in sage.categories.loop_crystals)
lower_central_series() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
lower_cover_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
lower_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.posets.Posets.ParentMethods method)
lowest_weight_vectors() (sage.categories.highest_weight_crystals.HighestWeightCrystals.ParentMethods method)
(sage.categories.regular_supercrystals.RegularSuperCrystals.ParentMethods method)
lt() (sage.categories.posets.Posets.ParentMethods method)
LTrivial (sage.categories.semigroups.Semigroups attribute)
LTrivial() (sage.categories.semigroups.Semigroups.SubcategoryMethods method)
LTrivialSemigroups (class in sage.categories.l_trivial_semigroups)
lusztig_involution() (sage.categories.classical_crystals.ClassicalCrystals.ElementMethods method)
(sage.categories.loop_crystals.KirillovReshetikhinCrystals.ElementMethods method)
M
m_cambrian_lattice() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
magma_generators() (sage.categories.finitely_generated_magmas.FinitelyGeneratedMagmas.ParentMethods method)
(sage.categories.semigroups.Semigroups.ParentMethods method)
Magmas (class in sage.categories.magmas)
Magmas.Algebras (class in sage.categories.magmas)
Magmas.Algebras.ParentMethods (class in sage.categories.magmas)
Magmas.CartesianProducts (class in sage.categories.magmas)
Magmas.CartesianProducts.ParentMethods (class in sage.categories.magmas)
Magmas.Commutative (class in sage.categories.magmas)
Magmas.Commutative.Algebras (class in sage.categories.magmas)
Magmas.Commutative.CartesianProducts (class in sage.categories.magmas)
Magmas.Commutative.ParentMethods (class in sage.categories.magmas)
Magmas.ElementMethods (class in sage.categories.magmas)
Magmas.JTrivial (class in sage.categories.magmas)
Magmas.ParentMethods (class in sage.categories.magmas)
Magmas.Realizations (class in sage.categories.magmas)
Magmas.Realizations.ParentMethods (class in sage.categories.magmas)
Magmas.SubcategoryMethods (class in sage.categories.magmas)
Magmas.Subquotients (class in sage.categories.magmas)
Magmas.Subquotients.ParentMethods (class in sage.categories.magmas)
Magmas.Unital (class in sage.categories.magmas)
Magmas.Unital.Algebras (class in sage.categories.magmas)
Magmas.Unital.CartesianProducts (class in sage.categories.magmas)
Magmas.Unital.CartesianProducts.ElementMethods (class in sage.categories.magmas)
Magmas.Unital.CartesianProducts.ParentMethods (class in sage.categories.magmas)
Magmas.Unital.ElementMethods (class in sage.categories.magmas)
Magmas.Unital.Inverse (class in sage.categories.magmas)
Magmas.Unital.Inverse.CartesianProducts (class in sage.categories.magmas)
Magmas.Unital.ParentMethods (class in sage.categories.magmas)
Magmas.Unital.Realizations (class in sage.categories.magmas)
Magmas.Unital.Realizations.ParentMethods (class in sage.categories.magmas)
Magmas.Unital.SubcategoryMethods (class in sage.categories.magmas)
MagmasAndAdditiveMagmas (class in sage.categories.magmas_and_additive_magmas)
MagmasAndAdditiveMagmas.CartesianProducts (class in sage.categories.magmas_and_additive_magmas)
MagmasAndAdditiveMagmas.SubcategoryMethods (class in sage.categories.magmas_and_additive_magmas)
MagmaticAlgebras (class in sage.categories.magmatic_algebras)
MagmaticAlgebras.ParentMethods (class in sage.categories.magmatic_algebras)
MagmaticAlgebras.WithBasis (class in sage.categories.magmatic_algebras)
MagmaticAlgebras.WithBasis.FiniteDimensional (class in sage.categories.magmatic_algebras)
MagmaticAlgebras.WithBasis.FiniteDimensional.ParentMethods (class in sage.categories.magmatic_algebras)
MagmaticAlgebras.WithBasis.ParentMethods (class in sage.categories.magmatic_algebras)
Manifolds (class in sage.categories.manifolds)
Manifolds.AlmostComplex (class in sage.categories.manifolds)
Manifolds.Analytic (class in sage.categories.manifolds)
Manifolds.Connected (class in sage.categories.manifolds)
Manifolds.Differentiable (class in sage.categories.manifolds)
Manifolds.FiniteDimensional (class in sage.categories.manifolds)
Manifolds.ParentMethods (class in sage.categories.manifolds)
Manifolds.Smooth (class in sage.categories.manifolds)
Manifolds.SubcategoryMethods (class in sage.categories.manifolds)
Map (class in sage.categories.map)
map() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
map_coefficients() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
map_item() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
map_support() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
map_support_skip_none() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
matrix() (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.MorphismMethods method)
MatrixAlgebras (class in sage.categories.matrix_algebras)
MatrixFunctor (class in sage.categories.pushout)
maximal_degree() (sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ElementMethods method)
maximal_vector() (sage.categories.loop_crystals.KirillovReshetikhinCrystals.ParentMethods method)
(sage.categories.loop_crystals.KirillovReshetikhinCrystals.TensorProducts.ParentMethods method)
meet() (sage.categories.category.Category static method)
(sage.categories.lattice_posets.LatticePosets.ParentMethods method)
meet_irreducibles() (sage.categories.finite_lattice_posets.FiniteLatticePosets.ParentMethods method)
meet_irreducibles_poset() (sage.categories.finite_lattice_posets.FiniteLatticePosets.ParentMethods method)
merge() (sage.categories.pushout.AlgebraicClosureFunctor method)
(sage.categories.pushout.AlgebraicExtensionFunctor method)
(sage.categories.pushout.CompletionFunctor method)
(sage.categories.pushout.ConstructionFunctor method)
(sage.categories.pushout.InfinitePolynomialFunctor method)
(sage.categories.pushout.LaurentPolynomialFunctor method)
(sage.categories.pushout.MatrixFunctor method)
(sage.categories.pushout.MultiPolynomialFunctor method)
(sage.categories.pushout.PermutationGroupFunctor method)
(sage.categories.pushout.PolynomialFunctor method)
(sage.categories.pushout.QuotientFunctor method)
(sage.categories.pushout.SubspaceFunctor method)
(sage.categories.pushout.VectorFunctor method)
metapost() (sage.categories.crystals.Crystals.ParentMethods method)
Metric (sage.categories.sets_cat.Sets attribute)
metric() (sage.categories.metric_spaces.MetricSpaces.ParentMethods method)
Metric() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
MetricSpaces (class in sage.categories.metric_spaces)
MetricSpaces.Complete (class in sage.categories.metric_spaces)
MetricSpaces.ElementMethods (class in sage.categories.metric_spaces)
MetricSpaces.ParentMethods (class in sage.categories.metric_spaces)
MetricSpaces.SubcategoryMethods (class in sage.categories.metric_spaces)
MetricSpaces.WithRealizations (class in sage.categories.metric_spaces)
MetricSpaces.WithRealizations.ParentMethods (class in sage.categories.metric_spaces)
MetricSpacesCategory (class in sage.categories.metric_spaces)
min_demazure_product_greater() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
ModularAbelianVarieties (class in sage.categories.modular_abelian_varieties)
ModularAbelianVarieties.Homsets (class in sage.categories.modular_abelian_varieties)
ModularAbelianVarieties.Homsets.Endset (class in sage.categories.modular_abelian_varieties)
module() (sage.categories.examples.finite_dimensional_lie_algebras_with_basis.AbelianLieAlgebra method)
(sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
(sage.categories.lie_algebras.LieAlgebras.ParentMethods method)
(sage.categories.lie_algebras_with_basis.LieAlgebrasWithBasis.ParentMethods method)
module_generator() (sage.categories.loop_crystals.KirillovReshetikhinCrystals.ParentMethods method)
module_morphism() (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
Modules (class in sage.categories.modules)
Modules.CartesianProducts (class in sage.categories.modules)
Modules.CartesianProducts.ParentMethods (class in sage.categories.modules)
Modules.ElementMethods (class in sage.categories.modules)
Modules.FiniteDimensional (class in sage.categories.modules)
Modules.Homsets (class in sage.categories.modules)
Modules.Homsets.Endset (class in sage.categories.modules)
Modules.Homsets.ParentMethods (class in sage.categories.modules)
Modules.ParentMethods (class in sage.categories.modules)
Modules.SubcategoryMethods (class in sage.categories.modules)
Modules.TensorProducts (class in sage.categories.modules)
ModulesWithBasis (class in sage.categories.modules_with_basis)
ModulesWithBasis.CartesianProducts (class in sage.categories.modules_with_basis)
ModulesWithBasis.CartesianProducts.ParentMethods (class in sage.categories.modules_with_basis)
ModulesWithBasis.DualObjects (class in sage.categories.modules_with_basis)
ModulesWithBasis.ElementMethods (class in sage.categories.modules_with_basis)
ModulesWithBasis.Homsets (class in sage.categories.modules_with_basis)
ModulesWithBasis.Homsets.ParentMethods (class in sage.categories.modules_with_basis)
ModulesWithBasis.MorphismMethods (class in sage.categories.modules_with_basis)
ModulesWithBasis.ParentMethods (class in sage.categories.modules_with_basis)
ModulesWithBasis.TensorProducts (class in sage.categories.modules_with_basis)
ModulesWithBasis.TensorProducts.ElementMethods (class in sage.categories.modules_with_basis)
ModulesWithBasis.TensorProducts.ParentMethods (class in sage.categories.modules_with_basis)
monoid_generators() (sage.categories.examples.monoids.FreeMonoid method)
(sage.categories.finite_groups.FiniteGroups.ParentMethods method)
(sage.categories.groups.Groups.ParentMethods method)
(sage.categories.monoids.Monoids.CartesianProducts.ParentMethods method)
MonoidAlgebras() (in module sage.categories.monoid_algebras)
Monoids (class in sage.categories.monoids)
Monoids.Algebras (class in sage.categories.monoids)
Monoids.Algebras.ElementMethods (class in sage.categories.monoids)
Monoids.Algebras.ParentMethods (class in sage.categories.monoids)
Monoids.CartesianProducts (class in sage.categories.monoids)
Monoids.CartesianProducts.ParentMethods (class in sage.categories.monoids)
Monoids.Commutative (class in sage.categories.monoids)
Monoids.ElementMethods (class in sage.categories.monoids)
Monoids.ParentMethods (class in sage.categories.monoids)
Monoids.Subquotients (class in sage.categories.monoids)
Monoids.Subquotients.ParentMethods (class in sage.categories.monoids)
Monoids.WithRealizations (class in sage.categories.monoids)
Monoids.WithRealizations.ParentMethods (class in sage.categories.monoids)
monomial() (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
monomial_coefficients() (sage.categories.examples.finite_dimensional_lie_algebras_with_basis.AbelianLieAlgebra.Element method)
(sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
monomial_or_zero_if_none() (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
monomials() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
Morphism (class in sage.categories.morphism)
morphism() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
morphism_class() (sage.categories.category.Category method)
multiplication_table() (sage.categories.magmas.Magmas.ParentMethods method)
multiplicative_order() (sage.categories.groups.Groups.CartesianProducts.ElementMethods method)
MultiPolynomialFunctor (class in sage.categories.pushout)
MultivariateConstructionFunctor (class in sage.categories.pushout)
MyGroupAlgebra (class in sage.categories.examples.hopf_algebras_with_basis)
N
NaiveCrystal (class in sage.categories.examples.crystals)
NaiveCrystal.Element (class in sage.categories.examples.crystals)
natural_map() (sage.categories.homset.Homset method)
nerve() (sage.categories.finite_monoids.FiniteMonoids.ParentMethods method)
next() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.examples.infinite_enumerated_sets.NonNegativeIntegers method)
(sage.categories.examples.sets_cat.PrimeNumbers_Abstract method)
(sage.categories.examples.sets_cat.PrimeNumbers_Abstract.Element method)
ngens() (sage.categories.semigroups.Semigroups.Algebras.ParentMethods method)
Nilpotent (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis attribute)
Nilpotent() (sage.categories.lie_algebras.LieAlgebras.SubcategoryMethods method)
noncrossing_partition_lattice() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.Irreducible.ParentMethods method)
NonNegativeIntegers (class in sage.categories.examples.infinite_enumerated_sets)
(class in sage.categories.examples.sets_with_grading)
NoZeroDivisors (sage.categories.rings.Rings attribute)
NoZeroDivisors() (sage.categories.rings.Rings.SubcategoryMethods method)
number_of_connected_components() (sage.categories.crystals.Crystals.ParentMethods method)
number_of_irreducible_components() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method)
number_of_reflection_hyperplanes() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method)
number_of_reflections() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method)
number_of_reflections_of_full_support() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.Irreducible.ParentMethods method)
number_of_simple_reflections() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method)
NumberFields (class in sage.categories.number_fields)
NumberFields.ElementMethods (class in sage.categories.number_fields)
NumberFields.ParentMethods (class in sage.categories.number_fields)
numerator() (sage.categories.quotient_fields.QuotientFields.ElementMethods method)
O
object() (sage.categories.category_types.Elements method)
Objects (class in sage.categories.objects)
Objects.ParentMethods (class in sage.categories.objects)
Objects.SubcategoryMethods (class in sage.categories.objects)
odd_component() (sage.categories.super_modules_with_basis.SuperModulesWithBasis.ElementMethods method)
on_basis() (sage.categories.modules_with_basis.ModulesWithBasis.MorphismMethods method)
on_left_matrix() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ElementMethods method)
one() (sage.categories.algebras_with_basis.AlgebrasWithBasis.CartesianProducts.ParentMethods method)
(sage.categories.algebras_with_basis.AlgebrasWithBasis.ParentMethods method)
(sage.categories.examples.finite_coxeter_groups.DihedralGroup method)
(sage.categories.examples.finite_dimensional_algebras_with_basis.KroneckerQuiverPathAlgebra method)
(sage.categories.examples.finite_monoids.IntegerModMonoid method)
(sage.categories.examples.finite_weyl_groups.SymmetricGroup method)
(sage.categories.examples.monoids.FreeMonoid method)
(sage.categories.examples.with_realizations.SubsetAlgebra.Bases.ParentMethods method)
(sage.categories.examples.with_realizations.SubsetAlgebra.Fundamental method)
(sage.categories.homset.Homset method)
(sage.categories.magmas.Magmas.Unital.CartesianProducts.ParentMethods method)
(sage.categories.magmas.Magmas.Unital.ParentMethods method)
(sage.categories.magmas.Magmas.Unital.Realizations.ParentMethods method)
(sage.categories.monoids.Monoids.Subquotients.ParentMethods method)
(sage.categories.monoids.Monoids.WithRealizations.ParentMethods method)
(sage.categories.simplicial_sets.SimplicialSets.Homsets.Endset.ParentMethods method)
(sage.categories.unital_algebras.UnitalAlgebras.WithBasis.ParentMethods method)
one_basis() (sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.Algebras.ParentMethods method)
(sage.categories.algebras_with_basis.AlgebrasWithBasis.TensorProducts.ParentMethods method)
(sage.categories.examples.algebras_with_basis.FreeAlgebra method)
(sage.categories.examples.graded_connected_hopf_algebras_with_basis.GradedConnectedCombinatorialHopfAlgebraWithPrimitiveGenerator method)
(sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
(sage.categories.examples.lie_algebras_with_basis.IndexedPolynomialRing method)
(sage.categories.examples.with_realizations.SubsetAlgebra.Fundamental method)
(sage.categories.graded_algebras_with_basis.GradedAlgebrasWithBasis.SignedTensorProducts.ParentMethods method)
(sage.categories.monoids.Monoids.Algebras.ParentMethods method)
(sage.categories.unital_algebras.UnitalAlgebras.WithBasis.ParentMethods method)
one_dimensional_configuration_sum() (sage.categories.loop_crystals.KirillovReshetikhinCrystals.TensorProducts.ParentMethods method)
one_from_cartesian_product_of_one_basis() (sage.categories.algebras_with_basis.AlgebrasWithBasis.CartesianProducts.ParentMethods method)
one_from_one_basis() (sage.categories.unital_algebras.UnitalAlgebras.WithBasis.ParentMethods method)
op (sage.categories.action.Action attribute)
operation() (sage.categories.action.Action method)
or_subcategory() (sage.categories.category.Category method)
order() (sage.categories.groups.Groups.CartesianProducts.ParentMethods method)
order_filter() (sage.categories.posets.Posets.ParentMethods method)
order_filter_generators() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
order_ideal() (sage.categories.posets.Posets.ParentMethods method)
order_ideal_complement_generators() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
order_ideal_generators() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
order_ideal_toggle() (sage.categories.posets.Posets.ParentMethods method)
order_ideal_toggles() (sage.categories.posets.Posets.ParentMethods method)
order_ideals_lattice() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
orthogonal_idempotents_central_mod_radical() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
P
panyushev_complement() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
panyushev_orbit_iter() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
panyushev_orbits() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
parent() (sage.categories.map.Map method)
parent_class() (sage.categories.category.Category method)
part() (sage.categories.triangular_kac_moody_algebras.TriangularKacMoodyAlgebras.ElementMethods method)
partial_fraction_decomposition() (sage.categories.quotient_fields.QuotientFields.ElementMethods method)
PartiallyOrderedMonoids (class in sage.categories.partially_ordered_monoids)
PartiallyOrderedMonoids.ElementMethods (class in sage.categories.partially_ordered_monoids)
PartiallyOrderedMonoids.ParentMethods (class in sage.categories.partially_ordered_monoids)
pbw_basis() (sage.categories.lie_algebras_with_basis.LieAlgebrasWithBasis.ParentMethods method)
peirce_decomposition() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
peirce_summand() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
permutahedron() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
PermutationGroupFunctor (class in sage.categories.pushout)
PermutationGroups (class in sage.categories.permutation_groups)
Phi() (sage.categories.crystals.Crystals.ElementMethods method)
phi() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
(sage.categories.regular_supercrystals.RegularSuperCrystals.ElementMethods method)
phi_minus_epsilon() (sage.categories.crystals.Crystals.ElementMethods method)
pieri_factors() (sage.categories.weyl_groups.WeylGroups.ParentMethods method)
Plane (class in sage.categories.examples.manifolds)
plot() (sage.categories.crystals.Crystals.ParentMethods method)
plot3d() (sage.categories.crystals.Crystals.ParentMethods method)
poincare_birkhoff_witt_basis() (sage.categories.lie_algebras_with_basis.LieAlgebrasWithBasis.ParentMethods method)
Pointed() (sage.categories.simplicial_sets.SimplicialSets.SubcategoryMethods method)
PointedSets (class in sage.categories.pointed_sets)
PolyhedralSets (class in sage.categories.polyhedra)
PolynomialFunctor (class in sage.categories.pushout)
PoorManMap (class in sage.categories.poor_man_map)
Posets (class in sage.categories.posets)
Posets.ElementMethods (class in sage.categories.posets)
Posets.ParentMethods (class in sage.categories.posets)
PositiveIntegerMonoid (class in sage.categories.examples.facade_sets)
PositiveIntegersOrderedByDivisibilityFacade (class in sage.categories.examples.posets)
PositiveIntegersOrderedByDivisibilityFacade.element_class (class in sage.categories.examples.posets)
post_compose() (sage.categories.map.Map method)
powers() (sage.categories.monoids.Monoids.ElementMethods method)
pre_compose() (sage.categories.map.Map method)
PrecomposedAction (class in sage.categories.action)
PrimeNumbers (class in sage.categories.examples.sets_cat)
PrimeNumbers_Abstract (class in sage.categories.examples.sets_cat)
PrimeNumbers_Abstract.Element (class in sage.categories.examples.sets_cat)
PrimeNumbers_Facade (class in sage.categories.examples.sets_cat)
PrimeNumbers_Inherits (class in sage.categories.examples.sets_cat)
PrimeNumbers_Inherits.Element (class in sage.categories.examples.sets_cat)
PrimeNumbers_Wrapper (class in sage.categories.examples.sets_cat)
PrimeNumbers_Wrapper.Element (class in sage.categories.examples.sets_cat)
principal_ideal() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
principal_lower_set() (sage.categories.posets.Posets.ParentMethods method)
principal_order_filter() (sage.categories.posets.Posets.ParentMethods method)
principal_order_ideal() (sage.categories.posets.Posets.ParentMethods method)
principal_upper_set() (sage.categories.posets.Posets.ParentMethods method)
PrincipalIdealDomains (class in sage.categories.principal_ideal_domains)
PrincipalIdealDomains.ElementMethods (class in sage.categories.principal_ideal_domains)
PrincipalIdealDomains.ParentMethods (class in sage.categories.principal_ideal_domains)
print_compare() (in module sage.categories.sets_cat)
prod() (sage.categories.monoids.Monoids.ParentMethods method)
(sage.categories.semigroups.Semigroups.ParentMethods method)
product() (sage.categories.examples.finite_monoids.IntegerModMonoid method)
(sage.categories.examples.finite_semigroups.LeftRegularBand method)
(sage.categories.examples.finite_weyl_groups.SymmetricGroup method)
(sage.categories.examples.semigroups.FreeSemigroup method)
(sage.categories.examples.semigroups.LeftZeroSemigroup method)
(sage.categories.magmas.Magmas.CartesianProducts.ParentMethods method)
(sage.categories.magmas.Magmas.ParentMethods method)
(sage.categories.magmas.Magmas.Subquotients.ParentMethods method)
(sage.categories.magmatic_algebras.MagmaticAlgebras.WithBasis.ParentMethods method)
product_by_coercion() (sage.categories.magmas.Magmas.Realizations.ParentMethods method)
product_from_element_class_mul() (sage.categories.magmas.Magmas.ParentMethods method)
product_on_basis() (sage.categories.additive_magmas.AdditiveMagmas.Algebras.ParentMethods method)
(sage.categories.additive_semigroups.AdditiveSemigroups.Algebras.ParentMethods method)
(sage.categories.algebras_with_basis.AlgebrasWithBasis.TensorProducts.ParentMethods method)
(sage.categories.examples.algebras_with_basis.FreeAlgebra method)
(sage.categories.examples.finite_dimensional_algebras_with_basis.KroneckerQuiverPathAlgebra method)
(sage.categories.examples.graded_connected_hopf_algebras_with_basis.GradedConnectedCombinatorialHopfAlgebraWithPrimitiveGenerator method)
(sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
(sage.categories.examples.lie_algebras_with_basis.IndexedPolynomialRing method)
(sage.categories.examples.with_realizations.SubsetAlgebra.Fundamental method)
(sage.categories.graded_algebras_with_basis.GradedAlgebrasWithBasis.SignedTensorProducts.ParentMethods method)
(sage.categories.magmatic_algebras.MagmaticAlgebras.WithBasis.ParentMethods method)
(sage.categories.semigroups.Semigroups.Algebras.ParentMethods method)
product_space() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
profile() (sage.categories.finite_permutation_groups.FinitePermutationGroups.ParentMethods method)
profile_polynomial() (sage.categories.finite_permutation_groups.FinitePermutationGroups.ParentMethods method)
profile_series() (sage.categories.finite_permutation_groups.FinitePermutationGroups.ParentMethods method)
projection() (sage.categories.filtered_algebras_with_basis.FilteredAlgebrasWithBasis.ParentMethods method)
(sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ParentMethods method)
pseudo_order() (sage.categories.finite_monoids.FiniteMonoids.ElementMethods method)
pushforward() (sage.categories.morphism.Morphism method)
pushout() (in module sage.categories.pushout)
(sage.categories.pushout.ConstructionFunctor method)
pushout_lattice() (in module sage.categories.pushout)
Q
q() (sage.categories.quantum_group_representations.QuantumGroupRepresentations.ParentMethods method)
q_dimension() (sage.categories.highest_weight_crystals.HighestWeightCrystals.ParentMethods method)
(sage.categories.loop_crystals.KirillovReshetikhinCrystals.ParentMethods method)
quantum_bruhat_graph() (sage.categories.weyl_groups.WeylGroups.ParentMethods method)
quantum_bruhat_successors() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
QuantumGroupRepresentations (class in sage.categories.quantum_group_representations)
QuantumGroupRepresentations.ParentMethods (class in sage.categories.quantum_group_representations)
QuantumGroupRepresentations.TensorProducts (class in sage.categories.quantum_group_representations)
QuantumGroupRepresentations.TensorProducts.ParentMethods (class in sage.categories.quantum_group_representations)
QuantumGroupRepresentations.WithBasis (class in sage.categories.quantum_group_representations)
QuantumGroupRepresentations.WithBasis.ElementMethods (class in sage.categories.quantum_group_representations)
QuantumGroupRepresentations.WithBasis.ParentMethods (class in sage.categories.quantum_group_representations)
QuantumGroupRepresentations.WithBasis.TensorProducts (class in sage.categories.quantum_group_representations)
QuantumGroupRepresentations.WithBasis.TensorProducts.ParentMethods (class in sage.categories.quantum_group_representations)
quo() (sage.categories.rings.Rings.ParentMethods method)
quo_rem() (sage.categories.discrete_valuation.DiscreteValuationRings.ElementMethods method)
(sage.categories.euclidean_domains.EuclideanDomains.ElementMethods method)
(sage.categories.fields.Fields.ElementMethods method)
quotient() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
(sage.categories.rings.Rings.ParentMethods method)
quotient_module() (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.ParentMethods method)
quotient_ring() (sage.categories.rings.Rings.ParentMethods method)
QuotientFields (class in sage.categories.quotient_fields)
QuotientFields.ElementMethods (class in sage.categories.quotient_fields)
QuotientFields.ParentMethods (class in sage.categories.quotient_fields)
QuotientFunctor (class in sage.categories.pushout)
QuotientOfLeftZeroSemigroup (class in sage.categories.examples.semigroups)
QuotientOfLeftZeroSemigroup.Element (class in sage.categories.examples.semigroups)
Quotients() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
QuotientsCategory (class in sage.categories.quotients)
R
r() (sage.categories.loop_crystals.KirillovReshetikhinCrystals.ParentMethods method)
R_matrix() (sage.categories.loop_crystals.KirillovReshetikhinCrystals.ParentMethods method)
radical() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
(sage.categories.unique_factorization_domains.UniqueFactorizationDomains.ElementMethods method)
radical_basis() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
(sage.categories.finite_dimensional_semisimple_algebras_with_basis.FiniteDimensionalSemisimpleAlgebrasWithBasis.ParentMethods method)
(sage.categories.semisimple_algebras.SemisimpleAlgebras.ParentMethods method)
random_element() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.CartesianProducts.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method)
(sage.categories.infinite_enumerated_sets.InfiniteEnumeratedSets.ParentMethods method)
(sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
(sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method)
random_element_of_length() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
rank (sage.categories.pushout.AlgebraicClosureFunctor attribute)
(sage.categories.pushout.AlgebraicExtensionFunctor attribute)
(sage.categories.pushout.BlackBoxConstructionFunctor attribute)
(sage.categories.pushout.CompletionFunctor attribute)
(sage.categories.pushout.FractionField attribute)
(sage.categories.pushout.IdentityConstructionFunctor attribute)
(sage.categories.pushout.InfinitePolynomialFunctor attribute)
(sage.categories.pushout.LaurentPolynomialFunctor attribute)
(sage.categories.pushout.MatrixFunctor attribute)
(sage.categories.pushout.MultiPolynomialFunctor attribute)
(sage.categories.pushout.PermutationGroupFunctor attribute)
(sage.categories.pushout.PolynomialFunctor attribute)
(sage.categories.pushout.QuotientFunctor attribute)
(sage.categories.pushout.SubspaceFunctor attribute)
(sage.categories.pushout.VectorFunctor attribute)
rank() (sage.categories.complex_reflection_groups.ComplexReflectionGroups.ParentMethods method)
(sage.categories.enumerated_sets.EnumeratedSets.ElementMethods method)
(sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.CartesianProducts.ParentMethods method)
rational_catalan_number() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.Irreducible.ParentMethods method)
realization_of() (sage.categories.sets_cat.Sets.Realizations.ParentMethods method)
Realizations() (in module sage.categories.realizations)
(sage.categories.category.Category method)
realizations() (sage.categories.sets_cat.Sets.WithRealizations.ParentMethods method)
RealizationsCategory (class in sage.categories.realizations)
reduced_word() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
reduced_word_graph() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
reduced_word_reverse_iterator() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
reduced_words() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
reflection() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method)
reflection_index_set() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method)
reflection_length() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ElementMethods method)
(sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ElementMethods method)
reflection_to_coroot() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
reflection_to_root() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
reflections() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method)
reflections_from_w0() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
register_as_coercion() (sage.categories.morphism.Morphism method)
register_as_conversion() (sage.categories.morphism.Morphism method)
RegressiveCovariantConstructionCategory (class in sage.categories.covariant_functorial_construction)
regular_representation() (sage.categories.semigroups.Semigroups.Algebras.ParentMethods method)
(sage.categories.semigroups.Semigroups.ParentMethods method)
RegularCrystals (class in sage.categories.regular_crystals)
RegularCrystals.ElementMethods (class in sage.categories.regular_crystals)
RegularCrystals.MorphismMethods (class in sage.categories.regular_crystals)
RegularCrystals.ParentMethods (class in sage.categories.regular_crystals)
RegularCrystals.TensorProducts (class in sage.categories.regular_crystals)
RegularLoopCrystals (class in sage.categories.loop_crystals)
RegularLoopCrystals.ElementMethods (class in sage.categories.loop_crystals)
RegularSuperCrystals (class in sage.categories.regular_supercrystals)
RegularSuperCrystals.ElementMethods (class in sage.categories.regular_supercrystals)
RegularSuperCrystals.ParentMethods (class in sage.categories.regular_supercrystals)
RegularSuperCrystals.TensorProducts (class in sage.categories.regular_supercrystals)
required_methods() (sage.categories.category.Category method)
residue_field() (sage.categories.discrete_valuation.DiscreteValuationFields.ParentMethods method)
(sage.categories.discrete_valuation.DiscreteValuationRings.ParentMethods method)
retract() (sage.categories.examples.finite_enumerated_sets.IsomorphicObjectOfFiniteEnumeratedSet method)
(sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
(sage.categories.sets_cat.Sets.Subquotients.ParentMethods method)
reversed() (sage.categories.homset.Homset method)
rhodes_radical_congruence() (sage.categories.finite_monoids.FiniteMonoids.ParentMethods method)
right_base_ring() (sage.categories.bimodules.Bimodules method)
right_domain() (sage.categories.action.Action method)
right_precomposition (sage.categories.action.PrecomposedAction attribute)
RightModules (class in sage.categories.right_modules)
RightModules.ElementMethods (class in sage.categories.right_modules)
RightModules.ParentMethods (class in sage.categories.right_modules)
ring() (sage.categories.category_types.Category_ideal method)
RingIdeals (class in sage.categories.ring_ideals)
Rings (class in sage.categories.rings)
Rings.ElementMethods (class in sage.categories.rings)
Rings.MorphismMethods (class in sage.categories.rings)
Rings.ParentMethods (class in sage.categories.rings)
Rings.SubcategoryMethods (class in sage.categories.rings)
Rngs (class in sage.categories.rngs)
rowmotion() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
rowmotion_orbit_iter() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
rowmotion_orbits() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
rowmotion_orbits_plots() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
RTrivial (sage.categories.semigroups.Semigroups attribute)
RTrivial() (sage.categories.semigroups.Semigroups.SubcategoryMethods method)
RTrivial_extra_super_categories() (sage.categories.l_trivial_semigroups.LTrivialSemigroups method)
RTrivialSemigroups (class in sage.categories.r_trivial_semigroups)
S
s() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.loop_crystals.KirillovReshetikhinCrystals.ParentMethods method)
sage.categories.action (module)
sage.categories.additive_groups (module)
sage.categories.additive_magmas (module)
sage.categories.additive_monoids (module)
sage.categories.additive_semigroups (module)
sage.categories.affine_weyl_groups (module)
sage.categories.algebra_functor (module)
sage.categories.algebra_ideals (module)
sage.categories.algebra_modules (module)
sage.categories.algebras (module)
sage.categories.algebras_with_basis (module)
sage.categories.aperiodic_semigroups (module)
sage.categories.associative_algebras (module)
sage.categories.bialgebras (module)
sage.categories.bialgebras_with_basis (module)
sage.categories.bimodules (module)
sage.categories.cartesian_product (module)
sage.categories.category (module)
sage.categories.category_cy_helper (module)
sage.categories.category_singleton (module)
sage.categories.category_types (module)
sage.categories.category_with_axiom (module)
sage.categories.classical_crystals (module)
sage.categories.coalgebras (module)
sage.categories.coalgebras_with_basis (module)
sage.categories.coercion_methods (module)
sage.categories.commutative_additive_groups (module)
sage.categories.commutative_additive_monoids (module)
sage.categories.commutative_additive_semigroups (module)
sage.categories.commutative_algebra_ideals (module)
sage.categories.commutative_algebras (module)
sage.categories.commutative_ring_ideals (module)
sage.categories.commutative_rings (module)
sage.categories.complete_discrete_valuation (module)
sage.categories.complex_reflection_groups (module)
sage.categories.complex_reflection_or_generalized_coxeter_groups (module)
sage.categories.covariant_functorial_construction (module)
sage.categories.coxeter_group_algebras (module)
sage.categories.coxeter_groups (module)
sage.categories.crystals (module)
sage.categories.cw_complexes (module)
sage.categories.discrete_valuation (module)
sage.categories.distributive_magmas_and_additive_magmas (module)
sage.categories.division_rings (module)
sage.categories.domains (module)
sage.categories.dual (module)
sage.categories.enumerated_sets (module)
sage.categories.euclidean_domains (module)
sage.categories.examples.algebras_with_basis (module)
sage.categories.examples.commutative_additive_monoids (module)
sage.categories.examples.commutative_additive_semigroups (module)
sage.categories.examples.coxeter_groups (module)
sage.categories.examples.crystals (module)
sage.categories.examples.cw_complexes (module)
sage.categories.examples.facade_sets (module)
sage.categories.examples.finite_coxeter_groups (module)
sage.categories.examples.finite_dimensional_algebras_with_basis (module)
sage.categories.examples.finite_dimensional_lie_algebras_with_basis (module)
sage.categories.examples.finite_enumerated_sets (module)
sage.categories.examples.finite_monoids (module)
sage.categories.examples.finite_semigroups (module)
sage.categories.examples.finite_weyl_groups (module)
sage.categories.examples.graded_connected_hopf_algebras_with_basis (module)
sage.categories.examples.graded_modules_with_basis (module)
sage.categories.examples.graphs (module)
sage.categories.examples.hopf_algebras_with_basis (module)
sage.categories.examples.infinite_enumerated_sets (module)
sage.categories.examples.lie_algebras (module)
sage.categories.examples.lie_algebras_with_basis (module)
sage.categories.examples.manifolds (module)
sage.categories.examples.monoids (module)
sage.categories.examples.posets (module)
sage.categories.examples.semigroups (module)
sage.categories.examples.semigroups_cython (module)
sage.categories.examples.sets_cat (module)
sage.categories.examples.sets_with_grading (module)
sage.categories.examples.with_realizations (module)
sage.categories.facade_sets (module)
sage.categories.fields (module)
sage.categories.filtered_algebras (module)
sage.categories.filtered_algebras_with_basis (module)
sage.categories.filtered_modules (module)
sage.categories.filtered_modules_with_basis (module)
sage.categories.finite_complex_reflection_groups (module)
sage.categories.finite_coxeter_groups (module)
sage.categories.finite_crystals (module)
sage.categories.finite_dimensional_algebras_with_basis (module)
sage.categories.finite_dimensional_bialgebras_with_basis (module)
sage.categories.finite_dimensional_coalgebras_with_basis (module)
sage.categories.finite_dimensional_graded_lie_algebras_with_basis (module)
sage.categories.finite_dimensional_hopf_algebras_with_basis (module)
sage.categories.finite_dimensional_lie_algebras_with_basis (module)
sage.categories.finite_dimensional_modules_with_basis (module)
sage.categories.finite_dimensional_nilpotent_lie_algebras_with_basis (module)
sage.categories.finite_dimensional_semisimple_algebras_with_basis (module)
sage.categories.finite_enumerated_sets (module)
sage.categories.finite_fields (module)
sage.categories.finite_groups (module)
sage.categories.finite_lattice_posets (module)
sage.categories.finite_monoids (module)
sage.categories.finite_permutation_groups (module)
sage.categories.finite_posets (module)
sage.categories.finite_semigroups (module)
sage.categories.finite_sets (module)
sage.categories.finite_weyl_groups (module)
sage.categories.finitely_generated_magmas (module)
sage.categories.finitely_generated_semigroups (module)
sage.categories.function_fields (module)
sage.categories.functor (module)
sage.categories.g_sets (module)
sage.categories.gcd_domains (module)
sage.categories.generalized_coxeter_groups (module)
sage.categories.graded_algebras (module)
sage.categories.graded_algebras_with_basis (module)
sage.categories.graded_bialgebras (module)
sage.categories.graded_bialgebras_with_basis (module)
sage.categories.graded_coalgebras (module)
sage.categories.graded_coalgebras_with_basis (module)
sage.categories.graded_hopf_algebras (module)
sage.categories.graded_hopf_algebras_with_basis (module)
sage.categories.graded_lie_algebras (module)
sage.categories.graded_lie_algebras_with_basis (module)
sage.categories.graded_modules (module)
sage.categories.graded_modules_with_basis (module)
sage.categories.graphs (module)
sage.categories.group_algebras (module)
sage.categories.groupoid (module)
sage.categories.groups (module)
sage.categories.h_trivial_semigroups (module)
sage.categories.hecke_modules (module)
sage.categories.highest_weight_crystals (module)
sage.categories.homset (module)
sage.categories.homsets (module)
sage.categories.hopf_algebras (module)
sage.categories.hopf_algebras_with_basis (module)
sage.categories.infinite_enumerated_sets (module)
sage.categories.integral_domains (module)
sage.categories.isomorphic_objects (module)
sage.categories.j_trivial_semigroups (module)
sage.categories.kac_moody_algebras (module)
sage.categories.l_trivial_semigroups (module)
sage.categories.lattice_posets (module)
sage.categories.left_modules (module)
sage.categories.lie_algebras (module)
sage.categories.lie_algebras_with_basis (module)
sage.categories.lie_groups (module)
sage.categories.loop_crystals (module)
sage.categories.magmas (module)
sage.categories.magmas_and_additive_magmas (module)
sage.categories.magmatic_algebras (module)
sage.categories.manifolds (module)
sage.categories.map (module)
sage.categories.matrix_algebras (module)
sage.categories.metric_spaces (module)
sage.categories.modular_abelian_varieties (module)
sage.categories.modules (module)
sage.categories.modules_with_basis (module)
sage.categories.monoid_algebras (module)
sage.categories.monoids (module)
sage.categories.morphism (module)
sage.categories.number_fields (module)
sage.categories.objects (module)
sage.categories.partially_ordered_monoids (module)
sage.categories.permutation_groups (module)
sage.categories.pointed_sets (module)
sage.categories.polyhedra (module)
sage.categories.poor_man_map (module)
sage.categories.posets (module)
sage.categories.primer (module)
sage.categories.principal_ideal_domains (module)
sage.categories.pushout (module)
sage.categories.quantum_group_representations (module)
sage.categories.quotient_fields (module)
sage.categories.quotients (module)
sage.categories.r_trivial_semigroups (module)
sage.categories.realizations (module)
sage.categories.regular_crystals (module)
sage.categories.regular_supercrystals (module)
sage.categories.right_modules (module)
sage.categories.ring_ideals (module)
sage.categories.rings (module)
sage.categories.rngs (module)
sage.categories.schemes (module)
sage.categories.semigroups (module)
sage.categories.semirings (module)
sage.categories.semisimple_algebras (module)
sage.categories.sets_cat (module)
sage.categories.sets_with_grading (module)
sage.categories.sets_with_partial_maps (module)
sage.categories.shephard_groups (module)
sage.categories.signed_tensor (module)
sage.categories.simplicial_complexes (module)
sage.categories.simplicial_sets (module)
sage.categories.subobjects (module)
sage.categories.subquotients (module)
sage.categories.super_algebras (module)
sage.categories.super_algebras_with_basis (module)
sage.categories.super_hopf_algebras_with_basis (module)
sage.categories.super_modules (module)
sage.categories.super_modules_with_basis (module)
sage.categories.supercommutative_algebras (module)
sage.categories.tensor (module)
sage.categories.topological_spaces (module)
sage.categories.triangular_kac_moody_algebras (module)
sage.categories.tutorial (module)
sage.categories.unique_factorization_domains (module)
sage.categories.unital_algebras (module)
sage.categories.vector_spaces (module)
sage.categories.weyl_groups (module)
sage.categories.with_realizations (module)
scaling_factors() (sage.categories.crystals.CrystalMorphism method)
Schemes (class in sage.categories.schemes)
Schemes_over_base (class in sage.categories.schemes)
Section (class in sage.categories.map)
section() (sage.categories.map.FormalCompositeMap method)
(sage.categories.map.Map method)
(sage.categories.morphism.IdentityMorphism method)
semidirect_product() (sage.categories.groups.Groups.ParentMethods method)
semigroup_generators() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method)
(sage.categories.examples.finite_monoids.IntegerModMonoid method)
(sage.categories.examples.finite_semigroups.LeftRegularBand method)
(sage.categories.examples.semigroups.FreeSemigroup method)
(sage.categories.finite_groups.FiniteGroups.ParentMethods method)
(sage.categories.finitely_generated_semigroups.FinitelyGeneratedSemigroups.ParentMethods method)
(sage.categories.monoids.Monoids.ParentMethods method)
(sage.categories.semigroups.Semigroups.ParentMethods method)
(sage.categories.semigroups.Semigroups.Quotients.ParentMethods method)
Semigroups (class in sage.categories.semigroups)
Semigroups.Algebras (class in sage.categories.semigroups)
Semigroups.Algebras.ParentMethods (class in sage.categories.semigroups)
Semigroups.CartesianProducts (class in sage.categories.semigroups)
Semigroups.ElementMethods (class in sage.categories.semigroups)
Semigroups.ParentMethods (class in sage.categories.semigroups)
Semigroups.Quotients (class in sage.categories.semigroups)
Semigroups.Quotients.ParentMethods (class in sage.categories.semigroups)
Semigroups.SubcategoryMethods (class in sage.categories.semigroups)
Semigroups.Subquotients (class in sage.categories.semigroups)
Semirings (class in sage.categories.semirings)
Semisimple (sage.categories.algebras.Algebras attribute)
Semisimple() (sage.categories.algebras.Algebras.SubcategoryMethods method)
semisimple_quotient() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method)
SemisimpleAlgebras (class in sage.categories.semisimple_algebras)
SemisimpleAlgebras.FiniteDimensional (class in sage.categories.semisimple_algebras)
SemisimpleAlgebras.ParentMethods (class in sage.categories.semisimple_algebras)
set_base_point() (sage.categories.simplicial_sets.SimplicialSets.ParentMethods method)
SetMorphism (class in sage.categories.morphism)
Sets (class in sage.categories.sets_cat)
Sets.Algebras (class in sage.categories.sets_cat)
Sets.Algebras.ParentMethods (class in sage.categories.sets_cat)
Sets.CartesianProducts (class in sage.categories.sets_cat)
Sets.CartesianProducts.ElementMethods (class in sage.categories.sets_cat)
Sets.CartesianProducts.ParentMethods (class in sage.categories.sets_cat)
Sets.ElementMethods (class in sage.categories.sets_cat)
Sets.Infinite (class in sage.categories.sets_cat)
Sets.Infinite.ParentMethods (class in sage.categories.sets_cat)
Sets.IsomorphicObjects (class in sage.categories.sets_cat)
Sets.IsomorphicObjects.ParentMethods (class in sage.categories.sets_cat)
Sets.MorphismMethods (class in sage.categories.sets_cat)
Sets.ParentMethods (class in sage.categories.sets_cat)
Sets.Quotients (class in sage.categories.sets_cat)
Sets.Quotients.ParentMethods (class in sage.categories.sets_cat)
Sets.Realizations (class in sage.categories.sets_cat)
Sets.Realizations.ParentMethods (class in sage.categories.sets_cat)
Sets.SubcategoryMethods (class in sage.categories.sets_cat)
Sets.Subobjects (class in sage.categories.sets_cat)
Sets.Subobjects.ParentMethods (class in sage.categories.sets_cat)
Sets.Subquotients (class in sage.categories.sets_cat)
Sets.Subquotients.ElementMethods (class in sage.categories.sets_cat)
Sets.Subquotients.ParentMethods (class in sage.categories.sets_cat)
Sets.WithRealizations (class in sage.categories.sets_cat)
Sets.WithRealizations.ParentMethods (class in sage.categories.sets_cat)
Sets.WithRealizations.ParentMethods.Realizations (class in sage.categories.sets_cat)
SetsWithGrading (class in sage.categories.sets_with_grading)
SetsWithGrading.ParentMethods (class in sage.categories.sets_with_grading)
SetsWithPartialMaps (class in sage.categories.sets_with_partial_maps)
shard_poset() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
ShephardGroups (class in sage.categories.shephard_groups)
SignedTensorProductFunctor (class in sage.categories.signed_tensor)
SignedTensorProducts() (sage.categories.graded_algebras.GradedAlgebras.SubcategoryMethods method)
(sage.categories.graded_coalgebras.GradedCoalgebras.SubcategoryMethods method)
(sage.categories.signed_tensor.SignedTensorProductsCategory method)
SignedTensorProductsCategory (class in sage.categories.signed_tensor)
simple_module_parameterization() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.Cellular.ParentMethods method)
simple_projection() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
simple_projections() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
simple_reflection() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method)
(sage.categories.examples.finite_weyl_groups.SymmetricGroup method)
simple_reflection_orders() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method)
simple_reflections() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method)
SimplicialComplexes (class in sage.categories.simplicial_complexes)
SimplicialComplexes.Finite (class in sage.categories.simplicial_complexes)
SimplicialComplexes.Finite.ParentMethods (class in sage.categories.simplicial_complexes)
SimplicialComplexes.ParentMethods (class in sage.categories.simplicial_complexes)
SimplicialSets (class in sage.categories.simplicial_sets)
SimplicialSets.Finite (class in sage.categories.simplicial_sets)
SimplicialSets.Homsets (class in sage.categories.simplicial_sets)
SimplicialSets.Homsets.Endset (class in sage.categories.simplicial_sets)
SimplicialSets.Homsets.Endset.ParentMethods (class in sage.categories.simplicial_sets)
SimplicialSets.ParentMethods (class in sage.categories.simplicial_sets)
SimplicialSets.Pointed (class in sage.categories.simplicial_sets)
SimplicialSets.Pointed.Finite (class in sage.categories.simplicial_sets)
SimplicialSets.Pointed.Finite.ParentMethods (class in sage.categories.simplicial_sets)
SimplicialSets.Pointed.ParentMethods (class in sage.categories.simplicial_sets)
SimplicialSets.SubcategoryMethods (class in sage.categories.simplicial_sets)
smash_product() (sage.categories.simplicial_sets.SimplicialSets.Pointed.Finite.ParentMethods method)
Smooth() (sage.categories.manifolds.Manifolds.SubcategoryMethods method)
some_elements() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method)
(sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.examples.semigroups.LeftZeroSemigroup method)
(sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
(sage.categories.examples.sets_cat.PrimeNumbers_Abstract method)
(sage.categories.finite_groups.FiniteGroups.ParentMethods method)
(sage.categories.finitely_generated_semigroups.FinitelyGeneratedSemigroups.Finite.ParentMethods method)
(sage.categories.sets_cat.Sets.ParentMethods method)
special_node() (sage.categories.affine_weyl_groups.AffineWeylGroups.ParentMethods method)
squarefree_part() (sage.categories.unique_factorization_domains.UniqueFactorizationDomains.ElementMethods method)
standard_coxeter_elements() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
(sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.ParentMethods method)
stanley_symmetric_function() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
stanley_symmetric_function_as_polynomial() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
stembridgeDel_depth() (sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
stembridgeDel_rise() (sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
stembridgeDelta_depth() (sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
stembridgeDelta_rise() (sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
stembridgeTriple() (sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
step() (sage.categories.finite_dimensional_nilpotent_lie_algebras_with_basis.FiniteDimensionalNilpotentLieAlgebrasWithBasis.ParentMethods method)
(sage.categories.lie_algebras.LieAlgebras.Nilpotent.ParentMethods method)
Stratified() (sage.categories.graded_lie_algebras.GradedLieAlgebras.SubcategoryMethods method)
string_parameters() (sage.categories.highest_weight_crystals.HighestWeightCrystals.ElementMethods method)
structure() (sage.categories.category.Category method)
structure_coefficients() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
subalgebra() (sage.categories.examples.finite_dimensional_lie_algebras_with_basis.AbelianLieAlgebra method)
(sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method)
(sage.categories.lie_algebras.LieAlgebras.ParentMethods method)
subcategory_class() (sage.categories.category.Category method)
subcrystal() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.crystals.Crystals.ParentMethods method)
submodule() (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
submonoid() (sage.categories.monoids.Monoids.ParentMethods method)
Subobjects() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
SubobjectsCategory (class in sage.categories.subobjects)
Subquotients() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
SubquotientsCategory (class in sage.categories.subquotients)
subsemigroup() (sage.categories.semigroups.Semigroups.ParentMethods method)
subset() (sage.categories.sets_with_grading.SetsWithGrading.ParentMethods method)
SubsetAlgebra (class in sage.categories.examples.with_realizations)
SubsetAlgebra.Bases (class in sage.categories.examples.with_realizations)
SubsetAlgebra.Bases.ParentMethods (class in sage.categories.examples.with_realizations)
SubsetAlgebra.Fundamental (class in sage.categories.examples.with_realizations)
SubsetAlgebra.In (class in sage.categories.examples.with_realizations)
SubsetAlgebra.Out (class in sage.categories.examples.with_realizations)
SubspaceFunctor (class in sage.categories.pushout)
succ_generators() (sage.categories.finitely_generated_semigroups.FinitelyGeneratedSemigroups.ParentMethods method)
sum() (sage.categories.additive_monoids.AdditiveMonoids.ParentMethods method)
sum_of_monomials() (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
sum_of_terms() (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
summation() (sage.categories.additive_magmas.AdditiveMagmas.ParentMethods method)
(sage.categories.examples.commutative_additive_semigroups.FreeCommutativeAdditiveSemigroup method)
summation_from_element_class_add() (sage.categories.additive_magmas.AdditiveMagmas.ParentMethods method)
Super (sage.categories.algebras.Algebras attribute)
(sage.categories.algebras_with_basis.AlgebrasWithBasis attribute)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis attribute)
(sage.categories.modules.Modules attribute)
(sage.categories.modules_with_basis.ModulesWithBasis attribute)
Super() (sage.categories.modules.Modules.SubcategoryMethods method)
super_categories() (sage.categories.additive_magmas.AdditiveMagmas method)
(sage.categories.affine_weyl_groups.AffineWeylGroups method)
(sage.categories.algebra_ideals.AlgebraIdeals method)
(sage.categories.algebra_modules.AlgebraModules method)
(sage.categories.bialgebras.Bialgebras method)
(sage.categories.bimodules.Bimodules method)
(sage.categories.category.Category method)
(sage.categories.category.JoinCategory method)
(sage.categories.category_types.ChainComplexes method)
(sage.categories.category_types.Elements method)
(sage.categories.category_with_axiom.Bars method)
(sage.categories.category_with_axiom.Blahs method)
(sage.categories.category_with_axiom.CategoryWithAxiom method)
(sage.categories.category_with_axiom.TestObjects method)
(sage.categories.category_with_axiom.TestObjectsOverBaseRing method)
(sage.categories.classical_crystals.ClassicalCrystals method)
(sage.categories.coalgebras.Coalgebras method)
(sage.categories.commutative_algebra_ideals.CommutativeAlgebraIdeals method)
(sage.categories.commutative_ring_ideals.CommutativeRingIdeals method)
(sage.categories.complete_discrete_valuation.CompleteDiscreteValuationFields method)
(sage.categories.complete_discrete_valuation.CompleteDiscreteValuationRings method)
(sage.categories.complex_reflection_groups.ComplexReflectionGroups method)
(sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups method)
(sage.categories.covariant_functorial_construction.FunctorialConstructionCategory method)
(sage.categories.coxeter_groups.CoxeterGroups method)
(sage.categories.crystals.Crystals method)
(sage.categories.cw_complexes.CWComplexes method)
(sage.categories.discrete_valuation.DiscreteValuationFields method)
(sage.categories.discrete_valuation.DiscreteValuationRings method)
(sage.categories.domains.Domains method)
(sage.categories.enumerated_sets.EnumeratedSets method)
(sage.categories.euclidean_domains.EuclideanDomains method)
(sage.categories.examples.semigroups_cython.IdempotentSemigroups method)
(sage.categories.examples.with_realizations.SubsetAlgebra.Bases method)
(sage.categories.function_fields.FunctionFields method)
(sage.categories.g_sets.GSets method)
(sage.categories.gcd_domains.GcdDomains method)
(sage.categories.generalized_coxeter_groups.GeneralizedCoxeterGroups method)
(sage.categories.graded_hopf_algebras_with_basis.GradedHopfAlgebrasWithBasis.WithRealizations method)
(sage.categories.graphs.Graphs method)
(sage.categories.groupoid.Groupoid method)
(sage.categories.hecke_modules.HeckeModules method)
(sage.categories.highest_weight_crystals.HighestWeightCrystals method)
(sage.categories.homsets.Homsets method)
(sage.categories.homsets.HomsetsOf method)
(sage.categories.hopf_algebras.HopfAlgebras method)
(sage.categories.kac_moody_algebras.KacMoodyAlgebras method)
(sage.categories.lattice_posets.LatticePosets method)
(sage.categories.left_modules.LeftModules method)
(sage.categories.lie_algebras.LieAlgebras method)
(sage.categories.lie_groups.LieGroups method)
(sage.categories.loop_crystals.KirillovReshetikhinCrystals method)
(sage.categories.loop_crystals.LoopCrystals method)
(sage.categories.loop_crystals.RegularLoopCrystals method)
(sage.categories.magmas.Magmas method)
(sage.categories.magmas_and_additive_magmas.MagmasAndAdditiveMagmas method)
(sage.categories.magmatic_algebras.MagmaticAlgebras method)
(sage.categories.manifolds.ComplexManifolds method)
(sage.categories.manifolds.Manifolds method)
(sage.categories.matrix_algebras.MatrixAlgebras method)
(sage.categories.modular_abelian_varieties.ModularAbelianVarieties method)
(sage.categories.modules.Modules method)
(sage.categories.number_fields.NumberFields method)
(sage.categories.objects.Objects method)
(sage.categories.partially_ordered_monoids.PartiallyOrderedMonoids method)
(sage.categories.permutation_groups.PermutationGroups method)
(sage.categories.pointed_sets.PointedSets method)
(sage.categories.polyhedra.PolyhedralSets method)
(sage.categories.posets.Posets method)
(sage.categories.principal_ideal_domains.PrincipalIdealDomains method)
(sage.categories.quantum_group_representations.QuantumGroupRepresentations method)
(sage.categories.quotient_fields.QuotientFields method)
(sage.categories.regular_crystals.RegularCrystals method)
(sage.categories.regular_supercrystals.RegularSuperCrystals method)
(sage.categories.right_modules.RightModules method)
(sage.categories.ring_ideals.RingIdeals method)
(sage.categories.schemes.Schemes method)
(sage.categories.schemes.Schemes_over_base method)
(sage.categories.semisimple_algebras.SemisimpleAlgebras method)
(sage.categories.sets_cat.Sets method)
(sage.categories.sets_cat.Sets.WithRealizations.ParentMethods.Realizations method)
(sage.categories.sets_with_grading.SetsWithGrading method)
(sage.categories.sets_with_partial_maps.SetsWithPartialMaps method)
(sage.categories.shephard_groups.ShephardGroups method)
(sage.categories.simplicial_complexes.SimplicialComplexes method)
(sage.categories.simplicial_sets.SimplicialSets method)
(sage.categories.super_modules.SuperModules method)
(sage.categories.triangular_kac_moody_algebras.TriangularKacMoodyAlgebras method)
(sage.categories.unique_factorization_domains.UniqueFactorizationDomains method)
(sage.categories.vector_spaces.VectorSpaces method)
(sage.categories.weyl_groups.WeylGroups method)
SuperAlgebras (class in sage.categories.super_algebras)
SuperAlgebras.ParentMethods (class in sage.categories.super_algebras)
SuperAlgebras.SignedTensorProducts (class in sage.categories.super_algebras)
SuperAlgebras.SubcategoryMethods (class in sage.categories.super_algebras)
SuperAlgebrasWithBasis (class in sage.categories.super_algebras_with_basis)
SuperAlgebrasWithBasis.ParentMethods (class in sage.categories.super_algebras_with_basis)
SuperAlgebrasWithBasis.SignedTensorProducts (class in sage.categories.super_algebras_with_basis)
Supercocommutative() (sage.categories.coalgebras.Coalgebras.Super.SubcategoryMethods method)
Supercommutative (sage.categories.super_algebras.SuperAlgebras attribute)
Supercommutative() (sage.categories.algebras.Algebras.SubcategoryMethods method)
(sage.categories.super_algebras.SuperAlgebras.SubcategoryMethods method)
SupercommutativeAlgebras (class in sage.categories.supercommutative_algebras)
SupercommutativeAlgebras.SignedTensorProducts (class in sage.categories.supercommutative_algebras)
SupercommutativeAlgebras.WithBasis (class in sage.categories.supercommutative_algebras)
SupercommutativeAlgebras.WithBasis.ParentMethods (class in sage.categories.supercommutative_algebras)
SuperHopfAlgebrasWithBasis (class in sage.categories.super_hopf_algebras_with_basis)
SuperHopfAlgebrasWithBasis.ParentMethods (class in sage.categories.super_hopf_algebras_with_basis)
SuperModules (class in sage.categories.super_modules)
SuperModules.ElementMethods (class in sage.categories.super_modules)
SuperModules.ParentMethods (class in sage.categories.super_modules)
SuperModulesCategory (class in sage.categories.super_modules)
SuperModulesWithBasis (class in sage.categories.super_modules_with_basis)
SuperModulesWithBasis.ElementMethods (class in sage.categories.super_modules_with_basis)
SuperModulesWithBasis.ParentMethods (class in sage.categories.super_modules_with_basis)
support() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
support_of_term() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
supsets() (sage.categories.examples.with_realizations.SubsetAlgebra method)
Surface (class in sage.categories.examples.cw_complexes)
Surface.Element (class in sage.categories.examples.cw_complexes)
symbol (sage.categories.cartesian_product.CartesianProductFunctor attribute)
(sage.categories.dual.DualFunctor attribute)
(sage.categories.signed_tensor.SignedTensorProductFunctor attribute)
(sage.categories.tensor.TensorProductFunctor attribute)
SymmetricGroup (class in sage.categories.examples.finite_weyl_groups)
SymmetricGroup.Element (class in sage.categories.examples.finite_weyl_groups)
T
tensor (in module sage.categories.tensor)
tensor() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.crystals.Crystals.ParentMethods method)
(sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
(sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
(sage.categories.quantum_group_representations.QuantumGroupRepresentations.WithBasis.ParentMethods method)
(sage.categories.regular_supercrystals.RegularSuperCrystals.ParentMethods method)
(sage.categories.super_algebras.SuperAlgebras.ParentMethods method)
tensor_signed (in module sage.categories.signed_tensor)
tensor_square() (sage.categories.modules.Modules.ParentMethods method)
TensorProductFunctor (class in sage.categories.tensor)
TensorProducts() (sage.categories.crystals.Crystals.SubcategoryMethods method)
(sage.categories.modules.Modules.SubcategoryMethods method)
(sage.categories.tensor.TensorProductsCategory method)
TensorProductsCategory (class in sage.categories.tensor)
term() (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
terms() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
TestObjects (class in sage.categories.category_with_axiom)
TestObjects.Commutative (class in sage.categories.category_with_axiom)
TestObjects.Commutative.Facade (class in sage.categories.category_with_axiom)
TestObjects.Commutative.Finite (class in sage.categories.category_with_axiom)
TestObjects.Commutative.FiniteDimensional (class in sage.categories.category_with_axiom)
TestObjects.FiniteDimensional (class in sage.categories.category_with_axiom)
TestObjects.FiniteDimensional.Finite (class in sage.categories.category_with_axiom)
TestObjects.FiniteDimensional.Unital (class in sage.categories.category_with_axiom)
TestObjects.FiniteDimensional.Unital.Commutative (class in sage.categories.category_with_axiom)
TestObjects.Unital (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.Commutative (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.Commutative.Facade (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.Commutative.Finite (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.Commutative.FiniteDimensional (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.FiniteDimensional (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.FiniteDimensional.Finite (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.FiniteDimensional.Unital (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.FiniteDimensional.Unital.Commutative (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.Unital (class in sage.categories.category_with_axiom)
the_answer() (sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
then() (sage.categories.map.FormalCompositeMap method)
to_graded_conversion() (sage.categories.filtered_algebras_with_basis.FilteredAlgebrasWithBasis.ParentMethods method)
(sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ParentMethods method)
to_highest_weight() (sage.categories.crystals.Crystals.ElementMethods method)
to_lowest_weight() (sage.categories.crystals.Crystals.ElementMethods method)
to_matrix() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ElementMethods method)
(sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ElementMethods method)
to_module_generator() (sage.categories.crystals.CrystalMorphismByGenerators method)
to_vector() (sage.categories.examples.finite_dimensional_lie_algebras_with_basis.AbelianLieAlgebra.Element method)
(sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ElementMethods method)
(sage.categories.lie_algebras.LieAlgebras.ElementMethods method)
(sage.categories.lie_algebras_with_basis.LieAlgebrasWithBasis.ElementMethods method)
toggling_orbit_iter() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
toggling_orbits() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
toggling_orbits_plots() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
Topological (sage.categories.sets_cat.Sets attribute)
Topological() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
TopologicalSpaces (class in sage.categories.topological_spaces)
TopologicalSpaces.Compact (class in sage.categories.topological_spaces)
TopologicalSpaces.Connected (class in sage.categories.topological_spaces)
TopologicalSpaces.SubcategoryMethods (class in sage.categories.topological_spaces)
TopologicalSpacesCategory (class in sage.categories.topological_spaces)
trailing_coefficient() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
trailing_item() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
trailing_monomial() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
trailing_support() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
trailing_term() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
TriangularKacMoodyAlgebras (class in sage.categories.triangular_kac_moody_algebras)
TriangularKacMoodyAlgebras.ElementMethods (class in sage.categories.triangular_kac_moody_algebras)
TriangularKacMoodyAlgebras.ParentMethods (class in sage.categories.triangular_kac_moody_algebras)
trivial_representation() (sage.categories.semigroups.Semigroups.Algebras.ParentMethods method)
(sage.categories.semigroups.Semigroups.ParentMethods method)
truncate() (sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ElementMethods method)
type_to_parent() (in module sage.categories.pushout)
U
uncamelcase() (in module sage.categories.category_with_axiom)
uniformizer() (sage.categories.discrete_valuation.DiscreteValuationFields.ParentMethods method)
(sage.categories.discrete_valuation.DiscreteValuationRings.ParentMethods method)
UniqueFactorizationDomains (class in sage.categories.unique_factorization_domains)
UniqueFactorizationDomains.ElementMethods (class in sage.categories.unique_factorization_domains)
UniqueFactorizationDomains.ParentMethods (class in sage.categories.unique_factorization_domains)
Unital (sage.categories.associative_algebras.AssociativeAlgebras attribute)
(sage.categories.distributive_magmas_and_additive_magmas.DistributiveMagmasAndAdditiveMagmas.AdditiveAssociative.AdditiveCommutative.AdditiveUnital.Associative attribute)
(sage.categories.magmatic_algebras.MagmaticAlgebras attribute)
(sage.categories.rngs.Rngs attribute)
(sage.categories.semigroups.Semigroups attribute)
Unital() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method)
(sage.categories.magmas.Magmas.SubcategoryMethods method)
Unital_extra_super_categories() (sage.categories.category_with_axiom.Bars method)
UnitalAlgebras (class in sage.categories.unital_algebras)
UnitalAlgebras.ParentMethods (class in sage.categories.unital_algebras)
UnitalAlgebras.WithBasis (class in sage.categories.unital_algebras)
UnitalAlgebras.WithBasis.ParentMethods (class in sage.categories.unital_algebras)
universal_enveloping_algebra() (sage.categories.lie_algebras.LieAlgebras.ParentMethods method)
unpickle_map() (in module sage.categories.map)
unrank() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.CartesianProducts.ParentMethods method)
unrank_range() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method)
unset_base_point() (sage.categories.simplicial_sets.SimplicialSets.Pointed.Finite.ParentMethods method)
upper_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.posets.Posets.ParentMethods method)
V
valuation() (sage.categories.complete_discrete_valuation.CompleteDiscreteValuationFields.ElementMethods method)
(sage.categories.complete_discrete_valuation.CompleteDiscreteValuationRings.ElementMethods method)
(sage.categories.discrete_valuation.DiscreteValuationFields.ElementMethods method)
(sage.categories.discrete_valuation.DiscreteValuationRings.ElementMethods method)
VectorFunctor (class in sage.categories.pushout)
VectorSpaces (class in sage.categories.vector_spaces)
VectorSpaces.CartesianProducts (class in sage.categories.vector_spaces)
VectorSpaces.DualObjects (class in sage.categories.vector_spaces)
VectorSpaces.ElementMethods (class in sage.categories.vector_spaces)
VectorSpaces.Filtered (class in sage.categories.vector_spaces)
VectorSpaces.Graded (class in sage.categories.vector_spaces)
VectorSpaces.ParentMethods (class in sage.categories.vector_spaces)
VectorSpaces.TensorProducts (class in sage.categories.vector_spaces)
VectorSpaces.WithBasis (class in sage.categories.vector_spaces)
VectorSpaces.WithBasis.CartesianProducts (class in sage.categories.vector_spaces)
VectorSpaces.WithBasis.Filtered (class in sage.categories.vector_spaces)
VectorSpaces.WithBasis.Graded (class in sage.categories.vector_spaces)
VectorSpaces.WithBasis.TensorProducts (class in sage.categories.vector_spaces)
verma_module() (sage.categories.triangular_kac_moody_algebras.TriangularKacMoodyAlgebras.ParentMethods method)
vertices() (sage.categories.examples.graphs.Cycle method)
(sage.categories.graphs.Graphs.ParentMethods method)
virtualization() (sage.categories.crystals.CrystalMorphism method)
W
w0() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
weak_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
weak_lattice() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
weak_le() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
weak_order_ideal() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
weak_poset() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
weight() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
weight_lattice_realization() (sage.categories.crystals.Crystals.ParentMethods method)
(sage.categories.loop_crystals.LoopCrystals.ParentMethods method)
WellGenerated() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.SubcategoryMethods method)
weyl_group() (sage.categories.kac_moody_algebras.KacMoodyAlgebras.ParentMethods method)
WeylGroups (class in sage.categories.weyl_groups)
WeylGroups.ElementMethods (class in sage.categories.weyl_groups)
WeylGroups.ParentMethods (class in sage.categories.weyl_groups)
WithBasis (sage.categories.algebras.Algebras attribute)
(sage.categories.bialgebras.Bialgebras attribute)
(sage.categories.coalgebras.Coalgebras attribute)
(sage.categories.hopf_algebras.HopfAlgebras attribute)
(sage.categories.lie_algebras.LieAlgebras attribute)
(sage.categories.lie_algebras.LieAlgebras.FiniteDimensional attribute)
(sage.categories.modules.Modules attribute)
(sage.categories.semisimple_algebras.SemisimpleAlgebras.FiniteDimensional attribute)
WithBasis() (sage.categories.modules.Modules.SubcategoryMethods method)
WithRealizations() (in module sage.categories.with_realizations)
(sage.categories.category.Category method)
WithRealizationsCategory (class in sage.categories.with_realizations)
wrapped_class (sage.categories.examples.finite_coxeter_groups.DihedralGroup.Element attribute)
(sage.categories.examples.finite_monoids.IntegerModMonoid.Element attribute)
(sage.categories.examples.finite_semigroups.LeftRegularBand.Element attribute)
(sage.categories.examples.monoids.FreeMonoid.Element attribute)
(sage.categories.examples.posets.FiniteSetsOrderedByInclusion.Element attribute)
(sage.categories.examples.semigroups.FreeSemigroup.Element attribute)
X
xgcd() (sage.categories.fields.Fields.ElementMethods method)
(sage.categories.quotient_fields.QuotientFields.ElementMethods method)
Z
zero() (sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.CartesianProducts.ParentMethods method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.Homsets.ParentMethods method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.ParentMethods method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.WithRealizations.ParentMethods method)
(sage.categories.examples.commutative_additive_monoids.FreeCommutativeAdditiveMonoid method)
(sage.categories.examples.finite_dimensional_lie_algebras_with_basis.AbelianLieAlgebra method)
(sage.categories.examples.lie_algebras.LieAlgebraFromAssociative method)
(sage.categories.modules.Modules.Homsets.ParentMethods method)
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