Index

A

a_realization() (multipolynomial_bases.multivariate_polynomials.FiniteRankMultivariatePolynomialAlgebra method) (multipolynomial_bases.multivariate_polynomials.MultivariatePolynomialAlgebra_generic method) algebra_finite_nb_variables() (multipolynomial_bases.multivariate_polynomials.MultivariatePolynomialAlgebra_generic method)

an_element() (multipolynomial_bases.multivariate_polynomials.FiniteRankMultivariatePolynomialAlgebra method) (multipolynomial_bases.multivariate_polynomials.MultivariatePolynomialAlgebra_generic method)

C

change_coeffs_bases() (multipolynomial_bases.double_multivariate_polynomials.Finite_rank_double_bases.ElementMethods method), [1] change_nb_variables() (multipolynomial_bases.multivariate_polynomials.MultivariatePolynomialAlgebra_generic method)

cmp() (multipolynomial_bases.double_multivariate_polynomials.DoubleSchubertBasis method) coeffs_ring() (multipolynomial_bases.double_multivariate_polynomials.DoubleMultivariatePolynomialAlgebra_generic method)

D

demazure_basis() (multipolynomial_bases.multivariate_polynomials.MultivariatePolynomialAlgebra_generic method) demazure_hat_basis() (multipolynomial_bases.multivariate_polynomials.MultivariatePolynomialAlgebra_generic method) DemazureHatPolynomials() (in module multipolynomial_bases.bases) DemazurePolynomials() (in module multipolynomial_bases.bases) divided_difference_on_basis() (multipolynomial_bases.ambient_space_basis.PolynomialRingWithBasisFromAmbientSpace._divided_difference_wrapper method) (multipolynomial_bases.monomial.MonomialBasis._divided_difference_wrapper method) double_grothendieck_basis() (multipolynomial_bases.double_multivariate_polynomials.DoubleMultivariatePolynomialAlgebra_generic method)

double_schubert_basis() (multipolynomial_bases.double_multivariate_polynomials.DoubleMultivariatePolynomialAlgebra_generic method) DoubleGrothendieckBasis (class in multipolynomial_bases.double_multivariate_polynomials) DoubleGrothendieckBasis._divided_difference_wrapper (class in multipolynomial_bases.double_multivariate_polynomials) DoubleMultivariatePolynomialAlgebra_generic (class in multipolynomial_bases.double_multivariate_polynomials) DoubleSchubertBasis (class in multipolynomial_bases.double_multivariate_polynomials)

E

equivalent_basis() (multipolynomial_bases.ambient_space_basis.PolynomialRingWithBasisFromAmbientSpace method) (multipolynomial_bases.monomial.MonomialBasis method)

F

facade_for() (multipolynomial_bases.multivariate_polynomials.MultivariatePolynomialAlgebra_generic method) Finite_rank_double_bases (class in multipolynomial_bases.double_multivariate_polynomials) Finite_rank_double_bases.ElementMethods (class in multipolynomial_bases.double_multivariate_polynomials), [1] FiniteMonomialBasis (class in multipolynomial_bases.monomial) FiniteMonomialBasis.Element (class in multipolynomial_bases.monomial), [1]

FiniteRankMultivariatePolynomialAlgebra (class in multipolynomial_bases.multivariate_polynomials) FiniteRankPolynomialRingWithBasisFromAmbientSpace (class in multipolynomial_bases.ambient_space_basis) FiniteRankPolynomialRingWithBasisFromAmbientSpace.Element (class in multipolynomial_bases.ambient_space_basis), [1] from_monomial_morphism() (multipolynomial_bases.ambient_space_basis.FiniteRankPolynomialRingWithBasisFromAmbientSpace method) from_morphism_basis() (multipolynomial_bases.multivariate_polynomials.FiniteRankMultivariatePolynomialAlgebra method) (multipolynomial_bases.multivariate_polynomials.MultivariatePolynomialAlgebra_generic method)

G

gens() (multipolynomial_bases.double_multivariate_polynomials.DoubleMultivariatePolynomialAlgebra_generic method) (multipolynomial_bases.multivariate_polynomials.MultivariatePolynomialAlgebra_generic method) grothendieck_negative_basis() (multipolynomial_bases.multivariate_polynomials.MultivariatePolynomialAlgebra_generic method) grothendieck_positive_basis() (multipolynomial_bases.multivariate_polynomials.MultivariatePolynomialAlgebra_generic method)

GrothendieckPolynomials() (in module multipolynomial_bases.bases) group_type() (multipolynomial_bases.ambient_space_basis.FiniteRankPolynomialRingWithBasisFromAmbientSpace method) (multipolynomial_bases.ambient_space_basis.PolynomialRingWithBasisFromAmbientSpace method)

H

hat_isobaric_divided_difference_on_basis() (multipolynomial_bases.ambient_space_basis.PolynomialRingWithBasisFromAmbientSpace._divided_difference_wrapper method) (multipolynomial_bases.double_multivariate_polynomials.DoubleGrothendieckBasis._divided_difference_wrapper method) (multipolynomial_bases.monomial.MonomialBasis._divided_difference_wrapper method)

hecke_generator_on_basis() (multipolynomial_bases.ambient_space_basis.PolynomialRingWithBasisFromAmbientSpace._divided_difference_wrapper method) (multipolynomial_bases.monomial.MonomialBasis._divided_difference_wrapper method)

I

inversed_ring() (multipolynomial_bases.double_multivariate_polynomials.DoubleMultivariatePolynomialAlgebra_generic method) (multipolynomial_bases.double_multivariate_polynomials.Finite_rank_double_bases.ElementMethods method), [1]

isobaric_divided_difference_on_basis() (multipolynomial_bases.ambient_space_basis.PolynomialRingWithBasisFromAmbientSpace._divided_difference_wrapper method) (multipolynomial_bases.double_multivariate_polynomials.DoubleGrothendieckBasis._divided_difference_wrapper method) (multipolynomial_bases.monomial.MonomialBasis._divided_difference_wrapper method)

L

linear_basis_on_vectors() (multipolynomial_bases.multivariate_polynomials.FiniteRankMultivariatePolynomialAlgebra method) (multipolynomial_bases.multivariate_polynomials.MultivariatePolynomialAlgebra_generic method)

M

macdonald_basis_on_vectors() (multipolynomial_bases.multivariate_polynomials.MultivariatePolynomialAlgebra_generic method) maxDiffDiv() (multipolynomial_bases.multivariate_polynomials.MultivariatePolynomialAlgebra_generic method) maxPi() (multipolynomial_bases.multivariate_polynomials.MultivariatePolynomialAlgebra_generic method) monomial_basis() (multipolynomial_bases.multivariate_polynomials.FiniteRankMultivariatePolynomialAlgebra method) (multipolynomial_bases.multivariate_polynomials.MultivariatePolynomialAlgebra_generic method) monomial_basis_with_type() (multipolynomial_bases.multivariate_polynomials.FiniteRankMultivariatePolynomialAlgebra method) (multipolynomial_bases.multivariate_polynomials.MultivariatePolynomialAlgebra_generic method) MonomialBasis (class in multipolynomial_bases.monomial) MonomialBasis._divided_difference_wrapper (class in multipolynomial_bases.monomial)

multipolynomial_bases.ambient_space_basis (module) multipolynomial_bases.bases (module) multipolynomial_bases.double_multivariate_polynomials (module) multipolynomial_bases.monomial (module) multipolynomial_bases.multivariate_polynomials (module) MultivariatePolynomialAlgebra() (in module multipolynomial_bases.multivariate_polynomials) MultivariatePolynomialAlgebra_generic (class in multipolynomial_bases.multivariate_polynomials)

N

nb_variables() (multipolynomial_bases.multivariate_polynomials.FiniteRankMultivariatePolynomialAlgebra method)

O

on_basis_method() (multipolynomial_bases.double_multivariate_polynomials.DoubleGrothendieckBasis method) (multipolynomial_bases.double_multivariate_polynomials.DoubleSchubertBasis method)

P

polynomial_ring_tower() (multipolynomial_bases.multivariate_polynomials.FiniteRankMultivariatePolynomialAlgebra method) PolynomialRingWithBasisFromAmbientSpace (class in multipolynomial_bases.ambient_space_basis) PolynomialRingWithBasisFromAmbientSpace._divided_difference_wrapper (class in multipolynomial_bases.ambient_space_basis)

product_on_basis() (multipolynomial_bases.ambient_space_basis.FiniteRankPolynomialRingWithBasisFromAmbientSpace method) (multipolynomial_bases.monomial.FiniteMonomialBasis method) product_variable_on_basis() (multipolynomial_bases.monomial.MonomialBasis._divided_difference_wrapper method)

R

reduce_nb_variables() (multipolynomial_bases.multivariate_polynomials.MultivariatePolynomialAlgebra_generic method)

S

schubert_basis() (multipolynomial_bases.multivariate_polynomials.MultivariatePolynomialAlgebra_generic method) SchubertPolynomials() (in module multipolynomial_bases.bases) si_on_basis() (multipolynomial_bases.ambient_space_basis.PolynomialRingWithBasisFromAmbientSpace._divided_difference_wrapper method) (multipolynomial_bases.monomial.MonomialBasis._divided_difference_wrapper method)

super_categories() (multipolynomial_bases.double_multivariate_polynomials.Finite_rank_double_bases method) swap_coeffs_elements() (multipolynomial_bases.double_multivariate_polynomials.Finite_rank_double_bases.ElementMethods method), [1]

T

to_monomial_morphism() (multipolynomial_bases.ambient_space_basis.FiniteRankPolynomialRingWithBasisFromAmbientSpace method)

V

var() (multipolynomial_bases.multivariate_polynomials.MultivariatePolynomialAlgebra_generic method)

W

weyl_group() (multipolynomial_bases.ambient_space_basis.FiniteRankPolynomialRingWithBasisFromAmbientSpace method)