Top
Back: PLURAL libraries
Forward: centralizeSet
FastBack: Mathematical background (plural)
FastForward: dmod_lib
Up: PLURAL libraries
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document

7.5.1 central_lib

Library:
central.lib
Purpose:
Computation of central elements of GR-algebras

Author:
Oleksandr Motsak, email: motsak@mathematik.uni-kl.de

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

Procedures:

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


Top Back: PLURAL libraries Forward: centralizeSet FastBack: Mathematical background (plural) FastForward: dmod_lib Up: PLURAL libraries Top: Singular Manual Contents: Table of Contents Index: Index About: About this document
            User manual for Singular version 3-0-3, May 2007, generated by texi2html.