Rational and algebraic invariants of a group action

Wednesday, February 21, 2007 - 11:15am - 12:15pm
Keller 3-180
Evelyne Hubert (Institut National de Recherche en Informatique Automatique (INRIA))
We consider a rational group action on the affine space and propose a construction of a finite set of rational invariants and a simple algorithm to rewrite any rational invariant in terms of those generators. The construction can be extended to provide algebraic foundations to Cartan's moving frame method, as revised in [Fels & Olver 1999]. This is joint work with Irina Kogan, North Carolina State University.