Index – 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) AbelianVarieties (class in sage.categories.schemes) AbelianVarieties.Homsets (class in sage.categories.schemes) AbelianVarieties.Homsets.Endset (class in sage.categories.schemes) abs() (sage.categories.metric_spaces.MetricSpaces.ElementMethods method) absolute_chain() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) absolute_chain_reflections() (sage.categories.coxeter_groups.CoxeterGroups.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) (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.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.ParentMethods (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) AlgebrasCategory.ParentMethods (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.magmas.FreeMagma 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.semirings.TernaryLogic 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)
Index – 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) AbelianVarieties (class in sage.categories.schemes) AbelianVarieties.Homsets (class in sage.categories.schemes) AbelianVarieties.Homsets.Endset (class in sage.categories.schemes) abs() (sage.categories.metric_spaces.MetricSpaces.ElementMethods method) absolute_chain() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) absolute_chain_reflections() (sage.categories.coxeter_groups.CoxeterGroups.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) (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.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.ParentMethods (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) AlgebrasCategory.ParentMethods (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.magmas.FreeMagma 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.semirings.TernaryLogic 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)