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7.7.8 freegb_lib

Library:
freegb.lib
Purpose:
Compute two-sided Groebner bases in free algebras via
letterplace
Authors:
Viktor Levandovskyy, viktor.levandovskyy@math.rwth-aachen.de
Grischa Studzinski, grischa.studzinski@math.rwth-aachen.de

Overview:
For the theory, see chapter 'Letterplace' in the Singular Manual

Procedures:

7.7.8.0. makeLetterplaceRing  creates a ring with d blocks of shifted original
variables
7.7.8.0. letplaceGBasis  computes two-sided Groebner basis of a letterplace ideal I
up to a degree bound
7.7.8.0. lpNF  normal form of f with respect to ideal I
7.7.8.0. freeGBasis  computes two-sided Groebner basis of an ideal, encoded via
list L, up to degree n
7.7.8.0. setLetterplaceAttributes  supplies ring R with the letterplace structure
7.7.8.0. lpMult  letterplace multiplication of letterplace polynomials
7.7.8.0. shiftPoly  compute the i-th shift of letterplace polynomial p
7.7.8.0. lpPower  natural power of a letterplace polynomial
7.7.8.0. lp2lstr  convert letter-place ideal to a list of modules
7.7.8.0. lst2str  convert a list (of modules) into polynomials in free algebra
7.7.8.0. mod2str  convert a module into a polynomial in free algebra
7.7.8.0. vct2str  convert a vector into a word in free algebra
7.7.8.0. lieBracket  compute Lie bracket ab-ba of two letterplace polynomials
7.7.8.0. serreRelations  compute the homogeneous part of Serre's relations
associated to a generalized Cartan matrix A
7.7.8.0. fullSerreRelations  compute the ideal of all Serre's relations
associated to a generalized Cartan matrix A
7.7.8.0. isVar  check whether p is a power of a single variable
7.7.8.0. ademRelations  compute the ideal of Adem relations for i<2j in char 0
See also: LETTERPLACE; fpadim_lib.