Singular

D.7.4 invar_lib

Library:

invar.lib

Purpose:

Procedures to compute invariant rings of SL(n) and torus groups

Author:

Harm Derksen, hderksen@math.unibas.ch

Procedures:

D.7.4.1 SL		sets the current group to SL_n
D.7.4.2 torus		sets the current group to an n-dimensional torus
D.7.4.3 torusrep		representation of a torus given by the weights m[1],m[2],...
D.7.4.4 finiterep		representation of a by a list of matrices
D.7.4.5 sympower		computes the d-th symmetric power of a representation m
D.7.4.6 invar		computes the invariant ring of the representation m.
D.7.4.7 SLreynolds		applies the Reynolds operator to f
D.7.4.8 torusreynolds		applies the Reynolds operator to f if the group is a torus or a finite group.