Vol. 5, No. 1, 2013

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Computing the invariant ring of a finite group

Thomas Hawes

Vol. 5 (2013), 15–19
Abstract

We give an overview of a new package for Macaulay2 called InvariantRing, which contains tools for describing the invariant ring of finite group actions on polynomial rings in characteristic zero. We outline methods for computing primary and secondary invariants and compare the two algorithms that are implemented for computing primary invariants.

Mathematical Subject Classification 2010
Primary: 13-04
Supplementary material

InvariantRing source code

Milestones
Received: 10 August 2012
Revised: 24 March 2013
Accepted: 16 May 2013
Authors
Thomas Hawes
Balliol College
Broad Street
Oxford OX1 3BJ
United Kingdom