Singular

7.7.3 central_lib

Library:

central.lib

Purpose:

Computation of central elements of GR-algebras

Author:

Oleksandr Motsak, U@D, where U={motsak}, D={mathematik.uni-kl.de}

Overview:

A library for computing elements of the center and centralizers of sets of elements in GR-algebras.

Procedures:

7.7.3.0. centralizeSet		v.s. basis of the centralizer of F within V
7.7.3.0. centralizerVS		v.s. basis of the centralizer of F
7.7.3.0. centralizerRed		reduced basis of the centralizer of F
7.7.3.0. centerVS		v.s. basis of the center
7.7.3.0. centerRed		reduced basis of the center
7.7.3.0. center		reduced basis of the center
7.7.3.0. centralizer		reduced bais of the centralizer of F
7.7.3.0. sa_reduce		's.a. reduction' of pairwise commuting elements
7.7.3.0. sa_poly_reduce		's.a. reduction' of p by pairwise commuting elements
7.7.3.0. inCenter		checks the centrality of list/ideal/poly T
7.7.3.0. inCentralizer		checks whether list/ideal/poly T commute with S
7.7.3.0. isCartan		checks whether polynomial p is a Cartan element
7.7.3.0. applyAdF		images of elements under the k-linear map Ad_f
7.7.3.0. linearMapKernel		kernel of a linear map given by images
7.7.3.0. linearCombinations		k-linear combinations of elements
7.7.3.0. variablesStandard		set of algebra generators in their natural order
7.7.3.0. variablesSorted		heuristically sorted set of algebra generators
7.7.3.0. PBW_eqDeg		PBW monomials of given degree
7.7.3.0. PBW_maxDeg		PBW monomials up to given degree
7.7.3.0. PBW_maxMonom		PBW monomials up to given maximal monomial