Symbolic Computation Group
David R. Cheriton School of Computer Science


Friday, November, 7, 2014, at Western University Invariants of Finite Abelian Groups and their use in Symmetry Reduction of Polynomial Systems George Labahn, University of Waterloo Abstract: We describe the computation of rational invariants of the linear action of a finite abelian group in the nonmodular case and investigate its use in symmetry reductions of dynamical and polynomial systems. Finite abelian subgroups of GL(n,K) can be diagonalized which allows the group action to be accurately described by an integer matrix of exponents. We can make use of integer linear algebra to compute both a minimal generating set of invariants and the substitution to rewrite any invariant in terms of this generating set. The set of invariants provide a symmetry reduction scheme for polynomial systems whose solution set is invariant by a finite abelian group action. This is joint work with Evelyne Hubert (France)

Last modified on Sunday, 23 November 2014, at 17:26 hours.