Symmetry in Nonlinear Mathematical Physics - 2009

Michelle Larouche (Université de Montréal, Canada)
Jiri Patera (Centre de Recherches Mathématiques, Université de Montréal, Canada)

Computing the branching rules for n-dimensional Coxeter group orbits

Branching rules for finite dimensional representations of simple Lie algebras are widely used in applications. Here we consider a related problem for orbits of finite Coxeter groups. It turns out that the new problem is considerably less constrained than the old one. That opens possibilities for applications that have no analogs in the representation theory. Computational methods used previously are still adequate or readily adaptable for the new problems. Representative examples are to be shown.