Index

A

a_realization() (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra method) AA() (in module sage.algebras.steenrod.steenrod_algebra) additive_order() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic.Element method) adem() (in module sage.algebras.steenrod.steenrod_algebra_mult) AffineNilTemperleyLiebTypeA (class in sage.algebras.affine_nil_temperley_lieb) algebra_generator() (sage.algebras.affine_nil_temperley_lieb.AffineNilTemperleyLiebTypeA method) algebra_generators() (sage.algebras.affine_nil_temperley_lieb.AffineNilTemperleyLiebTypeA method) (sage.algebras.clifford_algebra.CliffordAlgebra method) (sage.algebras.free_algebra.FreeAlgebra_generic method) (sage.algebras.free_algebra.PBWBasisOfFreeAlgebra method) (sage.algebras.group_algebra.GroupAlgebra method) (sage.algebras.jordan_algebra.JordanAlgebraSymmetricBilinear method) (sage.algebras.jordan_algebra.SpecialJordanAlgebra method) (sage.algebras.shuffle_algebra.DualPBWBasis method) (sage.algebras.shuffle_algebra.ShuffleAlgebra method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) (sage.algebras.weyl_algebra.DifferentialWeylAlgebra method) an_element() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method)

antiderivation() (sage.algebras.clifford_algebra.ExteriorAlgebra.Element method) antipode_on_basis() (sage.algebras.clifford_algebra.ExteriorAlgebra method) (sage.algebras.hall_algebra.HallAlgebra method) (sage.algebras.hall_algebra.HallAlgebraMonomials method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) arnonA_long_mono_to_string() (in module sage.algebras.steenrod.steenrod_algebra_misc) arnonA_mono_to_string() (in module sage.algebras.steenrod.steenrod_algebra_misc) arnonC_basis() (in module sage.algebras.steenrod.steenrod_algebra_bases) atomic_basis() (in module sage.algebras.steenrod.steenrod_algebra_bases) atomic_basis_odd() (in module sage.algebras.steenrod.steenrod_algebra_bases)

B

bar() (sage.algebras.jordan_algebra.JordanAlgebraSymmetricBilinear.Element method) bar_on_basis() (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.T method) base_extend() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method) basis() (sage.algebras.commutative_dga.GCAlgebra method) (sage.algebras.commutative_dga.GCAlgebra_multigraded method) (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method) (sage.algebras.jordan_algebra.JordanAlgebraSymmetricBilinear method) (sage.algebras.jordan_algebra.SpecialJordanAlgebra method) (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method) (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic.Element method) (sage.algebras.weyl_algebra.DifferentialWeylAlgebra method) basis_coefficients() (sage.algebras.commutative_dga.GCAlgebra.Element method) basis_for_quaternion_lattice() (in module sage.algebras.quatalg.quaternion_algebra)

basis_matrix() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_ideal.FiniteDimensionalAlgebraIdeal method) (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) basis_name() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic.Element method) binomial_mod2() (in module sage.algebras.steenrod.steenrod_algebra_mult) binomial_modp() (in module sage.algebras.steenrod.steenrod_algebra_mult) boundary() (sage.algebras.clifford_algebra.ExteriorAlgebra method)

C

cardinality() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method) cartan_type() (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra method) cdg_algebra() (sage.algebras.commutative_dga.GCAlgebra method) (sage.algebras.commutative_dga.GCAlgebra_multigraded method) center_basis() (sage.algebras.clifford_algebra.CliffordAlgebra method) chain_complex() (sage.algebras.clifford_algebra.ExteriorAlgebraBoundary method) (sage.algebras.clifford_algebra.ExteriorAlgebraCoboundary method) change_basis() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic.Element method) characteristic_polynomial() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_element.FiniteDimensionalAlgebraElement method) clifford_conjugate() (sage.algebras.clifford_algebra.CliffordAlgebraElement method) CliffordAlgebra (class in sage.algebras.clifford_algebra) CliffordAlgebraElement (class in sage.algebras.clifford_algebra) coboundaries() (sage.algebras.commutative_dga.Differential method) (sage.algebras.commutative_dga.DifferentialGCAlgebra method) (sage.algebras.commutative_dga.DifferentialGCAlgebra_multigraded method) (sage.algebras.commutative_dga.Differential_multigraded method) coboundary() (sage.algebras.clifford_algebra.ExteriorAlgebra method) cocycles() (sage.algebras.commutative_dga.Differential method) (sage.algebras.commutative_dga.DifferentialGCAlgebra method) (sage.algebras.commutative_dga.DifferentialGCAlgebra_multigraded method) (sage.algebras.commutative_dga.Differential_multigraded method) cohomology() (sage.algebras.commutative_dga.Differential method) (sage.algebras.commutative_dga.DifferentialGCAlgebra method) (sage.algebras.commutative_dga.DifferentialGCAlgebra_multigraded method) (sage.algebras.commutative_dga.Differential_multigraded method) cohomology_raw() (sage.algebras.commutative_dga.Differential method) (sage.algebras.commutative_dga.DifferentialGCAlgebra method) (sage.algebras.commutative_dga.DifferentialGCAlgebra_multigraded method) (sage.algebras.commutative_dga.Differential_multigraded method) CohomologyClass (class in sage.algebras.commutative_dga) comm_long_mono_to_string() (in module sage.algebras.steenrod.steenrod_algebra_misc)

comm_mono_to_string() (in module sage.algebras.steenrod.steenrod_algebra_misc) commutative_ring() (sage.algebras.letterplace.free_algebra_letterplace.FreeAlgebra_letterplace method) conjugate() (sage.algebras.clifford_algebra.CliffordAlgebraElement method) (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) constant_coefficient() (sage.algebras.clifford_algebra.ExteriorAlgebra.Element method) construction() (sage.algebras.group_algebra.GroupAlgebra method) convert_from_milnor_matrix() (in module sage.algebras.steenrod.steenrod_algebra_bases) convert_perm() (in module sage.algebras.steenrod.steenrod_algebra_misc) convert_to_milnor_matrix() (in module sage.algebras.steenrod.steenrod_algebra_bases) coproduct() (sage.algebras.shuffle_algebra.ShuffleAlgebra method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic.Element method) coproduct_on_basis() (sage.algebras.clifford_algebra.ExteriorAlgebra method) (sage.algebras.hall_algebra.HallAlgebra method) (sage.algebras.hall_algebra.HallAlgebraMonomials method) (sage.algebras.shuffle_algebra.ShuffleAlgebra method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) counit() (sage.algebras.clifford_algebra.ExteriorAlgebra method) (sage.algebras.hall_algebra.HallAlgebra method) (sage.algebras.hall_algebra.HallAlgebraMonomials method) (sage.algebras.shuffle_algebra.ShuffleAlgebra method) counit_on_basis() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) coxeter_group() (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra method) create_key() (sage.algebras.free_algebra.FreeAlgebraFactory method) (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebraFactory method) create_object() (sage.algebras.free_algebra.FreeAlgebraFactory method) (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebraFactory method) current_ring() (sage.algebras.letterplace.free_algebra_letterplace.FreeAlgebra_letterplace method) cyclic_right_subideals() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)

D

degbound() (sage.algebras.letterplace.free_algebra_letterplace.FreeAlgebra_letterplace method) degree() (sage.algebras.commutative_dga.GCAlgebra.Element method) (sage.algebras.commutative_dga.GCAlgebra_multigraded.Element method) (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method) (sage.algebras.letterplace.free_algebra_element_letterplace.FreeAlgebraElement_letterplace method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic.Element method) degree_negation() (sage.algebras.clifford_algebra.CliffordAlgebraElement method) degree_on_basis() (sage.algebras.clifford_algebra.CliffordAlgebra method) (sage.algebras.clifford_algebra.ExteriorAlgebra method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) dict() (sage.algebras.commutative_dga.GCAlgebra.Element method) Differential (class in sage.algebras.commutative_dga) differential() (sage.algebras.commutative_dga.DifferentialGCAlgebra method) (sage.algebras.commutative_dga.DifferentialGCAlgebra.Element method) (sage.algebras.commutative_dga.GCAlgebra method) (sage.algebras.commutative_dga.GCAlgebra_multigraded method) differential_matrix() (sage.algebras.commutative_dga.Differential method) differential_matrix_multigraded() (sage.algebras.commutative_dga.Differential_multigraded method) Differential_multigraded (class in sage.algebras.commutative_dga) DifferentialGCAlgebra (class in sage.algebras.commutative_dga)

DifferentialGCAlgebra.Element (class in sage.algebras.commutative_dga) DifferentialGCAlgebra_multigraded (class in sage.algebras.commutative_dga) DifferentialGCAlgebra_multigraded.Element (class in sage.algebras.commutative_dga) differentials() (sage.algebras.weyl_algebra.DifferentialWeylAlgebra method) DifferentialWeylAlgebra (class in sage.algebras.weyl_algebra) DifferentialWeylAlgebraElement (class in sage.algebras.weyl_algebra) dimension() (sage.algebras.clifford_algebra.CliffordAlgebra method) (sage.algebras.free_algebra_quotient.FreeAlgebraQuotient method) (sage.algebras.schur_algebra.SchurAlgebra method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) discriminant() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method) (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method) dual_pbw_basis() (sage.algebras.shuffle_algebra.ShuffleAlgebra method) DualPBWBasis (class in sage.algebras.shuffle_algebra) DualPBWBasis.Element (class in sage.algebras.shuffle_algebra)

E

Element (sage.algebras.clifford_algebra.CliffordAlgebra attribute) (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra attribute) (sage.algebras.free_algebra.FreeAlgebra_generic attribute) (sage.algebras.free_algebra_quotient.FreeAlgebraQuotient attribute) (sage.algebras.weyl_algebra.DifferentialWeylAlgebra attribute) excess() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic.Element method) expand() (sage.algebras.free_algebra.PBWBasisOfFreeAlgebra.Element method) (sage.algebras.shuffle_algebra.DualPBWBasis.Element method) expansion() (sage.algebras.free_algebra.PBWBasisOfFreeAlgebra method) (sage.algebras.shuffle_algebra.DualPBWBasis method) expansion_on_basis() (sage.algebras.shuffle_algebra.DualPBWBasis method) exterior_algebra_basis() (in module sage.algebras.commutative_dga)

ExteriorAlgebra (class in sage.algebras.clifford_algebra) ExteriorAlgebra.Element (class in sage.algebras.clifford_algebra) ExteriorAlgebraBoundary (class in sage.algebras.clifford_algebra) ExteriorAlgebraCoboundary (class in sage.algebras.clifford_algebra) ExteriorAlgebraDifferential (class in sage.algebras.clifford_algebra)

F

FiniteDimensionalAlgebra (class in sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra) FiniteDimensionalAlgebraElement (class in sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_element) FiniteDimensionalAlgebraHomset (class in sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_morphism) FiniteDimensionalAlgebraIdeal (class in sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_ideal) FiniteDimensionalAlgebraMorphism (class in sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_morphism) free_algebra() (sage.algebras.free_algebra.PBWBasisOfFreeAlgebra method) (sage.algebras.free_algebra_quotient.FreeAlgebraQuotient method) free_module() (sage.algebras.clifford_algebra.CliffordAlgebra method) (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method) FreeAlgebra_generic (class in sage.algebras.free_algebra)

FreeAlgebra_letterplace (class in sage.algebras.letterplace.free_algebra_letterplace) FreeAlgebraElement (class in sage.algebras.free_algebra_element) FreeAlgebraElement_letterplace (class in sage.algebras.letterplace.free_algebra_element_letterplace) FreeAlgebraFactory (class in sage.algebras.free_algebra) FreeAlgebraQuotient (class in sage.algebras.free_algebra_quotient) FreeAlgebraQuotientElement (class in sage.algebras.free_algebra_quotient_element) from_base_ring() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method)

G

g_algebra() (sage.algebras.free_algebra.FreeAlgebra_generic method) GCAlgebra (class in sage.algebras.commutative_dga) GCAlgebra.Element (class in sage.algebras.commutative_dga) GCAlgebra_multigraded (class in sage.algebras.commutative_dga) GCAlgebra_multigraded.Element (class in sage.algebras.commutative_dga) gen() (sage.algebras.clifford_algebra.CliffordAlgebra method) (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method) (sage.algebras.free_algebra.FreeAlgebra_generic method) (sage.algebras.free_algebra.PBWBasisOfFreeAlgebra method) (sage.algebras.free_algebra_quotient.FreeAlgebraQuotient method) (sage.algebras.group_algebra.GroupAlgebra method) (sage.algebras.letterplace.free_algebra_letterplace.FreeAlgebra_letterplace method) (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method) (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method) (sage.algebras.shuffle_algebra.DualPBWBasis method) (sage.algebras.shuffle_algebra.ShuffleAlgebra method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) (sage.algebras.weyl_algebra.DifferentialWeylAlgebra method) generator_degrees() (sage.algebras.letterplace.free_algebra_letterplace.FreeAlgebra_letterplace method) gens() (sage.algebras.clifford_algebra.CliffordAlgebra method) (sage.algebras.free_algebra.FreeAlgebra_generic method) (sage.algebras.free_algebra.PBWBasisOfFreeAlgebra method) (sage.algebras.group_algebra.GroupAlgebra method) (sage.algebras.jordan_algebra.JordanAlgebraSymmetricBilinear method) (sage.algebras.jordan_algebra.SpecialJordanAlgebra method) (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method) (sage.algebras.shuffle_algebra.DualPBWBasis method) (sage.algebras.shuffle_algebra.ShuffleAlgebra method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) get_basis_name() (in module sage.algebras.steenrod.steenrod_algebra_misc)

GL_irreducible_character() (in module sage.algebras.schur_algebra) graded_commutative_algebra() (sage.algebras.commutative_dga.DifferentialGCAlgebra method) GradedCommutativeAlgebra() (in module sage.algebras.commutative_dga) gram_matrix() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) groebner_basis() (sage.algebras.letterplace.letterplace_ideal.LetterplaceIdeal method) group() (sage.algebras.group_algebra.GroupAlgebra method) (sage.algebras.group_algebra.GroupAlgebraFunctor method) GroupAlgebra (class in sage.algebras.group_algebra) GroupAlgebraFunctor (class in sage.algebras.group_algebra)

H

HallAlgebra (class in sage.algebras.hall_algebra) HallAlgebra.Element (class in sage.algebras.hall_algebra) HallAlgebraMonomials (class in sage.algebras.hall_algebra) HallAlgebraMonomials.Element (class in sage.algebras.hall_algebra) hamilton_quatalg() (in module sage.algebras.free_algebra_quotient) has_no_braid_relation() (sage.algebras.affine_nil_temperley_lieb.AffineNilTemperleyLiebTypeA method)

hash_involution_on_basis() (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.C method) (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.Cp method) (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.T method) hodge_dual() (sage.algebras.clifford_algebra.ExteriorAlgebra.Element method) homogeneous_component() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) homogeneous_generator_noncommutative_variables() (sage.algebras.nil_coxeter_algebra.NilCoxeterAlgebra method) homogeneous_noncommutative_variables() (sage.algebras.nil_coxeter_algebra.NilCoxeterAlgebra method) homology() (sage.algebras.clifford_algebra.ExteriorAlgebraDifferential method)

I

ideal() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method) (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method) ideal_monoid() (sage.algebras.letterplace.free_algebra_letterplace.FreeAlgebra_letterplace method) index_cmp() (in module sage.algebras.iwahori_hecke_algebra) index_set() (sage.algebras.affine_nil_temperley_lieb.AffineNilTemperleyLiebTypeA method) inner_product_matrix() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method) (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method) interior_product() (sage.algebras.clifford_algebra.ExteriorAlgebra.Element method) interior_product_on_basis() (sage.algebras.clifford_algebra.ExteriorAlgebra method) intersection() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method) intersection_of_row_modules_over_ZZ() (in module sage.algebras.quatalg.quaternion_algebra) invariants() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method) inverse() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_element.FiniteDimensionalAlgebraElement method) (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.T.Element method) inverse_generator() (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.T method) inverse_generators() (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.T method) inverse_image() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_morphism.FiniteDimensionalAlgebraMorphism method) is_associative() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method) is_coboundary() (sage.algebras.commutative_dga.DifferentialGCAlgebra.Element method) is_cohomologous_to() (sage.algebras.commutative_dga.DifferentialGCAlgebra.Element method) is_commutative() (sage.algebras.clifford_algebra.CliffordAlgebra method) (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method) (sage.algebras.free_algebra.FreeAlgebra_generic method) (sage.algebras.group_algebra.GroupAlgebra method) (sage.algebras.letterplace.free_algebra_letterplace.FreeAlgebra_letterplace method) (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method) (sage.algebras.shuffle_algebra.ShuffleAlgebra method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) is_decomposable() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic.Element method) is_division_algebra() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) is_equivalent() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) is_exact() (sage.algebras.group_algebra.GroupAlgebra method) (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method) is_field() (sage.algebras.free_algebra.FreeAlgebra_generic method) (sage.algebras.group_algebra.GroupAlgebra method) (sage.algebras.letterplace.free_algebra_letterplace.FreeAlgebra_letterplace method) (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) is_finite() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method) (sage.algebras.group_algebra.GroupAlgebra method) (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method)

is_FreeAlgebra() (in module sage.algebras.free_algebra) is_FreeAlgebraQuotientElement() (in module sage.algebras.free_algebra_quotient_element) is_generic() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) is_homogeneous() (sage.algebras.commutative_dga.GCAlgebra.Element method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic.Element method) is_integral_domain() (sage.algebras.group_algebra.GroupAlgebra method) (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) is_invertible() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_element.FiniteDimensionalAlgebraElement method) is_matrix_ring() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method) is_nilpotent() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_element.FiniteDimensionalAlgebraElement method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic.Element method) is_noetherian() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) is_QuaternionAlgebra() (in module sage.algebras.quatalg.quaternion_algebra) is_unit() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic.Element method) is_unitary() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method) is_valid_profile() (in module sage.algebras.steenrod.steenrod_algebra_misc) is_zero() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method) is_zerodivisor() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_element.FiniteDimensionalAlgebraElement method) IwahoriHeckeAlgebra (class in sage.algebras.iwahori_hecke_algebra) IwahoriHeckeAlgebra.C (class in sage.algebras.iwahori_hecke_algebra) IwahoriHeckeAlgebra.Cp (class in sage.algebras.iwahori_hecke_algebra) IwahoriHeckeAlgebra.T (class in sage.algebras.iwahori_hecke_algebra) IwahoriHeckeAlgebra.T.Element (class in sage.algebras.iwahori_hecke_algebra) IwahoriHeckeAlgebra_nonstandard (class in sage.algebras.iwahori_hecke_algebra) IwahoriHeckeAlgebra_nonstandard.C (class in sage.algebras.iwahori_hecke_algebra) IwahoriHeckeAlgebra_nonstandard.Cp (class in sage.algebras.iwahori_hecke_algebra) IwahoriHeckeAlgebra_nonstandard.T (class in sage.algebras.iwahori_hecke_algebra)

J

JordanAlgebra (class in sage.algebras.jordan_algebra) JordanAlgebraSymmetricBilinear (class in sage.algebras.jordan_algebra)

JordanAlgebraSymmetricBilinear.Element (class in sage.algebras.jordan_algebra)

K

k_schur_noncommutative_variables() (sage.algebras.nil_coxeter_algebra.NilCoxeterAlgebra method)

L

lc() (sage.algebras.letterplace.free_algebra_element_letterplace.FreeAlgebraElement_letterplace method) left_ideal() (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method) left_matrix() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_element.FiniteDimensionalAlgebraElement method) left_order() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) left_table() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method) letterplace_polynomial() (sage.algebras.letterplace.free_algebra_element_letterplace.FreeAlgebraElement_letterplace method) LetterplaceIdeal (class in sage.algebras.letterplace.letterplace_ideal) lie_polynomial() (sage.algebras.free_algebra.FreeAlgebra_generic method)

lift_isometry() (sage.algebras.clifford_algebra.CliffordAlgebra method) lift_module_morphism() (sage.algebras.clifford_algebra.CliffordAlgebra method) lift_morphism() (sage.algebras.clifford_algebra.ExteriorAlgebra method) lifted_bilinear_form() (sage.algebras.clifford_algebra.ExteriorAlgebra method) list() (sage.algebras.clifford_algebra.CliffordAlgebraElement method) (sage.algebras.weyl_algebra.DifferentialWeylAlgebraElement method) lm() (sage.algebras.letterplace.free_algebra_element_letterplace.FreeAlgebraElement_letterplace method) lm_divides() (sage.algebras.letterplace.free_algebra_element_letterplace.FreeAlgebraElement_letterplace method) lt() (sage.algebras.letterplace.free_algebra_element_letterplace.FreeAlgebraElement_letterplace method)

M

make_mono_admissible() (in module sage.algebras.steenrod.steenrod_algebra_mult) matrix() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_element.FiniteDimensionalAlgebraElement method) (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_morphism.FiniteDimensionalAlgebraMorphism method) matrix_action() (sage.algebras.free_algebra_quotient.FreeAlgebraQuotient method) maximal_ideal() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method) maximal_ideals() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method) maximal_order() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method) maxord_solve_aux_eq() (in module sage.algebras.quatalg.quaternion_algebra) may_weight() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic.Element method) milnor() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic.Element method) milnor_basis() (in module sage.algebras.steenrod.steenrod_algebra_bases) milnor_mono_to_string() (in module sage.algebras.steenrod.steenrod_algebra_misc)

milnor_multiplication() (in module sage.algebras.steenrod.steenrod_algebra_mult) milnor_multiplication_odd() (in module sage.algebras.steenrod.steenrod_algebra_mult) minimal_polynomial() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_element.FiniteDimensionalAlgebraElement method) modp_splitting_data() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method) modp_splitting_map() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method) module() (sage.algebras.free_algebra_quotient.FreeAlgebraQuotient method) monoid() (sage.algebras.free_algebra.FreeAlgebra_generic method) (sage.algebras.free_algebra_quotient.FreeAlgebraQuotient method) monomial_basis() (sage.algebras.free_algebra_quotient.FreeAlgebraQuotient method) (sage.algebras.hall_algebra.HallAlgebra method) multinomial() (in module sage.algebras.steenrod.steenrod_algebra_mult) multinomial_odd() (in module sage.algebras.steenrod.steenrod_algebra_mult) multiply_by_conjugate() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)

N

ngens() (sage.algebras.clifford_algebra.CliffordAlgebra method) (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method) (sage.algebras.free_algebra.FreeAlgebra_generic method) (sage.algebras.free_algebra_quotient.FreeAlgebraQuotient method) (sage.algebras.group_algebra.GroupAlgebra method) (sage.algebras.letterplace.free_algebra_letterplace.FreeAlgebra_letterplace method) (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method) (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) (sage.algebras.weyl_algebra.DifferentialWeylAlgebra method) NilCoxeterAlgebra (class in sage.algebras.nil_coxeter_algebra) norm() (sage.algebras.jordan_algebra.JordanAlgebraSymmetricBilinear.Element method) (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) normal_form() (sage.algebras.letterplace.free_algebra_element_letterplace.FreeAlgebraElement_letterplace method)

normalize_basis_at_p() (in module sage.algebras.quatalg.quaternion_algebra) normalize_profile() (in module sage.algebras.steenrod.steenrod_algebra_misc) normalized_laurent_polynomial() (in module sage.algebras.iwahori_hecke_algebra)

O

one() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method) (sage.algebras.jordan_algebra.JordanAlgebraSymmetricBilinear method) (sage.algebras.jordan_algebra.SpecialJordanAlgebra method) (sage.algebras.schur_algebra.SchurAlgebra method) (sage.algebras.weyl_algebra.DifferentialWeylAlgebra method) one_basis() (sage.algebras.affine_nil_temperley_lieb.AffineNilTemperleyLiebTypeA method) (sage.algebras.clifford_algebra.CliffordAlgebra method) (sage.algebras.free_algebra.FreeAlgebra_generic method) (sage.algebras.free_algebra.PBWBasisOfFreeAlgebra method) (sage.algebras.hall_algebra.HallAlgebra method) (sage.algebras.hall_algebra.HallAlgebraMonomials method) (sage.algebras.shuffle_algebra.DualPBWBasis method) (sage.algebras.shuffle_algebra.ShuffleAlgebra method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method)

order() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method)

P

P() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) pbw_basis() (sage.algebras.free_algebra.FreeAlgebra_generic method) pbw_element() (sage.algebras.free_algebra.FreeAlgebra_generic method) PBWBasisOfFreeAlgebra (class in sage.algebras.free_algebra) PBWBasisOfFreeAlgebra.Element (class in sage.algebras.free_algebra) poincare_birkhoff_witt_basis() (sage.algebras.free_algebra.FreeAlgebra_generic method) poly_reduce() (in module sage.algebras.letterplace.free_algebra_element_letterplace) (in module sage.algebras.letterplace.free_algebra_letterplace) (in module sage.algebras.letterplace.letterplace_ideal) polynomial_ring() (sage.algebras.weyl_algebra.DifferentialWeylAlgebra method) primary_decomposition() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method)

prime() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic.Element method) product() (sage.algebras.free_algebra.PBWBasisOfFreeAlgebra method) (sage.algebras.shuffle_algebra.DualPBWBasis method) product_by_generator() (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.T method) product_by_generator_on_basis() (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.T method) product_on_basis() (sage.algebras.affine_nil_temperley_lieb.AffineNilTemperleyLiebTypeA method) (sage.algebras.free_algebra.FreeAlgebra_generic method) (sage.algebras.hall_algebra.HallAlgebra method) (sage.algebras.hall_algebra.HallAlgebraMonomials method) (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.T method) (sage.algebras.schur_algebra.SchurAlgebra method) (sage.algebras.shuffle_algebra.ShuffleAlgebra method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) profile() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) pseudoscalar() (sage.algebras.clifford_algebra.CliffordAlgebra method) pst() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) pst_mono_to_string() (in module sage.algebras.steenrod.steenrod_algebra_misc)

Q

Q() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) q1() (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra method) q2() (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra method) Q_exp() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) quadratic_form() (sage.algebras.clifford_algebra.CliffordAlgebra method) (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method) quaternion_algebra() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method) quaternion_order() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method) (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) QuaternionAlgebra_ab (class in sage.algebras.quatalg.quaternion_algebra)

QuaternionAlgebra_abstract (class in sage.algebras.quatalg.quaternion_algebra) QuaternionAlgebraFactory (class in sage.algebras.quatalg.quaternion_algebra) QuaternionFractionalIdeal (class in sage.algebras.quatalg.quaternion_algebra) QuaternionFractionalIdeal_rational (class in sage.algebras.quatalg.quaternion_algebra) QuaternionOrder (class in sage.algebras.quatalg.quaternion_algebra) quo() (sage.algebras.free_algebra.FreeAlgebra_generic method) quotient() (sage.algebras.commutative_dga.DifferentialGCAlgebra method) (sage.algebras.commutative_dga.GCAlgebra method) (sage.algebras.commutative_dga.GCAlgebra_multigraded method) (sage.algebras.free_algebra.FreeAlgebra_generic method) quotient_map() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method)

R

ramified_primes() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method) random_element() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method) (sage.algebras.group_algebra.GroupAlgebra method) (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method) (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method) rank() (sage.algebras.free_algebra_quotient.FreeAlgebraQuotient method) reduce() (sage.algebras.letterplace.free_algebra_element_letterplace.FreeAlgebraElement_letterplace method) (sage.algebras.letterplace.letterplace_ideal.LetterplaceIdeal method) reflection() (sage.algebras.clifford_algebra.CliffordAlgebraElement method) repr_from_monomials() (in module sage.algebras.weyl_algebra)

representative() (sage.algebras.commutative_dga.CohomologyClass method) restricted_partitions() (in module sage.algebras.steenrod.steenrod_algebra_bases) right_ideal() (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method) right_order() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) ring() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)

S

sage.algebras.affine_nil_temperley_lieb (module) sage.algebras.catalog (module) sage.algebras.clifford_algebra (module) sage.algebras.commutative_dga (module) sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra (module) sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_element (module) sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_ideal (module) sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_morphism (module) sage.algebras.free_algebra (module) sage.algebras.free_algebra_element (module) sage.algebras.free_algebra_quotient (module) sage.algebras.free_algebra_quotient_element (module) sage.algebras.group_algebra (module) sage.algebras.hall_algebra (module) sage.algebras.iwahori_hecke_algebra (module) sage.algebras.jordan_algebra (module) sage.algebras.letterplace.free_algebra_element_letterplace (module) sage.algebras.letterplace.free_algebra_letterplace (module) sage.algebras.letterplace.letterplace_ideal (module) sage.algebras.nil_coxeter_algebra (module) sage.algebras.quatalg.quaternion_algebra (module) sage.algebras.schur_algebra (module) sage.algebras.shuffle_algebra (module) sage.algebras.steenrod.steenrod_algebra (module) sage.algebras.steenrod.steenrod_algebra_bases (module) sage.algebras.steenrod.steenrod_algebra_misc (module) sage.algebras.steenrod.steenrod_algebra_mult (module)

sage.algebras.weyl_algebra (module) scalar() (sage.algebras.clifford_algebra.ExteriorAlgebra.Element method) (sage.algebras.hall_algebra.HallAlgebra.Element method) (sage.algebras.hall_algebra.HallAlgebraMonomials.Element method) scale() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) schur_representative_from_index() (in module sage.algebras.schur_algebra) schur_representative_indices() (in module sage.algebras.schur_algebra) SchurAlgebra (class in sage.algebras.schur_algebra) SchurTensorModule (class in sage.algebras.schur_algebra) SchurTensorModule.Element (class in sage.algebras.schur_algebra) serre_cartan_basis() (in module sage.algebras.steenrod.steenrod_algebra_bases) serre_cartan_mono_to_string() (in module sage.algebras.steenrod.steenrod_algebra_misc) set_degbound() (sage.algebras.letterplace.free_algebra_letterplace.FreeAlgebra_letterplace method) shuffle_algebra() (sage.algebras.shuffle_algebra.DualPBWBasis method) ShuffleAlgebra (class in sage.algebras.shuffle_algebra) singular_system() (in module sage.algebras.letterplace.free_algebra_element_letterplace) (in module sage.algebras.letterplace.free_algebra_letterplace) (in module sage.algebras.letterplace.letterplace_ideal) SpecialJordanAlgebra (class in sage.algebras.jordan_algebra) SpecialJordanAlgebra.Element (class in sage.algebras.jordan_algebra) Sq() (in module sage.algebras.steenrod.steenrod_algebra) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_mod_two method) steenrod_algebra_basis() (in module sage.algebras.steenrod.steenrod_algebra_bases) steenrod_basis_error_check() (in module sage.algebras.steenrod.steenrod_algebra_bases) SteenrodAlgebra() (in module sage.algebras.steenrod.steenrod_algebra) SteenrodAlgebra_generic (class in sage.algebras.steenrod.steenrod_algebra) SteenrodAlgebra_generic.Element (class in sage.algebras.steenrod.steenrod_algebra) SteenrodAlgebra_mod_two (class in sage.algebras.steenrod.steenrod_algebra) supercenter_basis() (sage.algebras.clifford_algebra.CliffordAlgebra method) supercommutator() (sage.algebras.clifford_algebra.CliffordAlgebraElement method) support() (sage.algebras.clifford_algebra.CliffordAlgebraElement method)

T

table() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method) term_order_of_block() (sage.algebras.letterplace.free_algebra_letterplace.FreeAlgebra_letterplace method) ternary_quadratic_form() (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method) theta_series() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) theta_series_vector() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) to_C_basis() (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.T method) (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra_nonstandard.T method) to_Cp_basis() (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.T method) (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra_nonstandard.T method) to_dual_pbw_element() (sage.algebras.shuffle_algebra.ShuffleAlgebra method)

to_pbw_basis() (sage.algebras.free_algebra_element.FreeAlgebraElement method) to_T_basis() (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra_nonstandard.C method) (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra_nonstandard.Cp method) top_class() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) total_degree() (in module sage.algebras.commutative_dga) trace() (sage.algebras.jordan_algebra.JordanAlgebraSymmetricBilinear.Element method) transpose() (sage.algebras.clifford_algebra.CliffordAlgebraElement method) transpose_cmp() (in module sage.algebras.hall_algebra)

U

unit_ideal() (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method)

unpickle_QuaternionAlgebra_v0() (in module sage.algebras.quatalg.quaternion_algebra)

V

variable_names() (sage.algebras.shuffle_algebra.ShuffleAlgebra method) variables() (sage.algebras.free_algebra_element.FreeAlgebraElement method) (sage.algebras.weyl_algebra.DifferentialWeylAlgebra method) vector() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_element.FiniteDimensionalAlgebraElement method) (sage.algebras.free_algebra_quotient_element.FreeAlgebraQuotientElement method)

vector_space() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_ideal.FiniteDimensionalAlgebraIdeal method) (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method) volume_form() (sage.algebras.clifford_algebra.ExteriorAlgebra method)

W

wall_height() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic.Element method) wall_long_mono_to_string() (in module sage.algebras.steenrod.steenrod_algebra_misc) wall_mono_to_string() (in module sage.algebras.steenrod.steenrod_algebra_misc)

weyl_group() (sage.algebras.affine_nil_temperley_lieb.AffineNilTemperleyLiebTypeA method) wood_mono_to_string() (in module sage.algebras.steenrod.steenrod_algebra_misc)

X

xi_degrees() (in module sage.algebras.steenrod.steenrod_algebra_bases)

Z

zero() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_morphism.FiniteDimensionalAlgebraHomset method) (sage.algebras.jordan_algebra.JordanAlgebraSymmetricBilinear method) (sage.algebras.jordan_algebra.SpecialJordanAlgebra method) (sage.algebras.weyl_algebra.DifferentialWeylAlgebra method)