Index – 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) casimir_element() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) 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) center_universal_enveloping_algebra() (sage.categories.lie_algebras.LieAlgebras.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) character() (sage.categories.classical_crystals.ClassicalCrystals.ParentMethods method) (sage.categories.supercrystals.SuperCrystals.Finite.ParentMethods method) character_value() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ElementMethods method) characteristic() (sage.categories.algebras.Algebras.ParentMethods method) (sage.categories.rings.Rings.ParentMethods method) characteristic_polynomial() (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.Homsets.Endset.ElementMethods method) charpoly() (sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis.Homsets.Endset.ElementMethods method) chevalley_eilenberg_complex() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) class_group() (sage.categories.principal_ideal_domains.PrincipalIdealDomains.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) CommutativeAlgebras.TensorProducts (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) completion() (sage.categories.graded_algebras_with_basis.GradedAlgebrasWithBasis.ParentMethods method) 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.simplicial_complexes.SimplicialComplexes.SubcategoryMethods method) (sage.categories.topological_spaces.TopologicalSpaces.SubcategoryMethods method) connected_components() (sage.categories.crystals.Crystals.ParentMethods method) (sage.categories.supercrystals.SuperCrystals.Finite.ParentMethods method) connected_components_generators() (sage.categories.crystals.Crystals.ParentMethods method) (sage.categories.highest_weight_crystals.HighestWeightCrystals.ParentMethods method) (sage.categories.supercrystals.SuperCrystals.Finite.ParentMethods method) connectivity() (sage.categories.simplicial_sets.SimplicialSets.Pointed.ParentMethods method) construction() (sage.categories.modules.Modules.TensorProducts.ParentMethods method) (sage.categories.sets_cat.Sets.Algebras.ParentMethods method) (sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method) (sage.categories.sets_cat.Sets.ParentMethods method) construction_tower() (in module sage.categories.pushout) ConstructionFunctor (class in sage.categories.pushout) content() (sage.categories.principal_ideal_domains.PrincipalIdealDomains.ParentMethods method) convolution_power_of_id() (sage.categories.bialgebras_with_basis.BialgebrasWithBasis.ElementMethods method) 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.algebra_functor.AlgebrasCategory.ParentMethods method) (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() (sage.categories.simplicial_sets.SimplicialSets.Pointed.ParentMethods method) cover_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) covered_reflections_subgroup() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ElementMethods method) covering_map() (sage.categories.simplicial_sets.SimplicialSets.Pointed.ParentMethods method) coxeter_complex() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods 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_poset() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.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)
Index – 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) casimir_element() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) 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) center_universal_enveloping_algebra() (sage.categories.lie_algebras.LieAlgebras.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() 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(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) CommutativeAlgebras.TensorProducts (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) completion() (sage.categories.graded_algebras_with_basis.GradedAlgebrasWithBasis.ParentMethods method) 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.simplicial_complexes.SimplicialComplexes.SubcategoryMethods method) (sage.categories.topological_spaces.TopologicalSpaces.SubcategoryMethods method) connected_components() (sage.categories.crystals.Crystals.ParentMethods method) (sage.categories.supercrystals.SuperCrystals.Finite.ParentMethods method) connected_components_generators() (sage.categories.crystals.Crystals.ParentMethods method) (sage.categories.highest_weight_crystals.HighestWeightCrystals.ParentMethods method) (sage.categories.supercrystals.SuperCrystals.Finite.ParentMethods method) connectivity() (sage.categories.simplicial_sets.SimplicialSets.Pointed.ParentMethods method) construction() (sage.categories.modules.Modules.TensorProducts.ParentMethods method) (sage.categories.sets_cat.Sets.Algebras.ParentMethods method) (sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method) (sage.categories.sets_cat.Sets.ParentMethods method) construction_tower() (in module sage.categories.pushout) ConstructionFunctor (class in sage.categories.pushout) content() (sage.categories.principal_ideal_domains.PrincipalIdealDomains.ParentMethods method) convolution_power_of_id() (sage.categories.bialgebras_with_basis.BialgebrasWithBasis.ElementMethods method) 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.algebra_functor.AlgebrasCategory.ParentMethods method) (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() (sage.categories.simplicial_sets.SimplicialSets.Pointed.ParentMethods method) cover_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) covered_reflections_subgroup() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ElementMethods method) covering_map() (sage.categories.simplicial_sets.SimplicialSets.Pointed.ParentMethods method) coxeter_complex() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods 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_poset() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.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)