Symmetry: A Package for Computation with Invariants and
Equivariants
Date: July 19th (Friday)
Time: 15:30-16:00
Abstract
In equivariant dynamical systems we are dealing with equations of a special form built by
fundamental invariants and fundamental equivariants of a group action. Related to this there are
certain questions such as completeness of invariants/equivariants, algorithmic construction of them
(for finite groups) which can be attacked by Computer Algebra, especially by using Gröbner bases.
An implementation in Maple is presented. This package can be of help for the solution of
symmetric systems of equations, theoretical studies in bifurcation theory, and a method which is in
equivariant dynamics called orbit space reduction.
