Top
Back: D.6.1.27 secondary_and_irreducibles_no_molien
Forward: D.6.1.29 orbit_variety
FastBack: Appendix D SINGULAR libraries
FastForward: E Release Notes
Up: D.6.1 finvar_lib
Top: 1 Preface
Contents: Table of Contents
Index: F Index
About: About This Document

D.6.1.28 secondary_not_cohen_macaulay

Procedure from library finvar.lib (see section finvar_lib).

Usage:

secondary_not_cohen_macaulay(P,G1,G2,...[,v]);
P: a 1xn <matrix> with primary invariants, G1,G2,...: nxn <matrices> generating a finite matrix group, v: an optional <int>

Assume:

n is the number of variables of the basering

Return:

secondary invariants of the invariant ring (type <matrix>)

Display:

information if v does not equal 0

Theory:

Secondary invariants are generated following "Generating Invariant Rings of Finite Groups over Arbitrary Fields" by Kemper (1996).

Example:

LIB "finvar.lib";
ring R=2,(x,y,z),dp;
matrix A[3][3]=0,1,0,-1,0,0,0,0,-1;
list L=primary_invariants(A);
matrix S=secondary_not_cohen_macaulay(L[1],A);
print(S);
→ 1

Top Back: D.6.1.27 secondary_and_irreducibles_no_molien Forward: D.6.1.29 orbit_variety FastBack: Appendix D SINGULAR libraries FastForward: E Release Notes Up: D.6.1 finvar_lib Top: 1 Preface Contents: Table of Contents Index: F Index About: About This Document
            User manual for Singular version 2-0-4, October 2002, generated by texinfo.