### 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.

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