Branching rules, Kostka-Foulkes polynomials and $q$-multiplicities in tensor product for the root systems $B\_n,C\_n$ and $D\_n$

Cédric Lecouvey

The Kostka-Foulkes polynomials $K$ related to a root system $\varphi$ can be defined as alternated sums running over the Weyl group associated to $\varphi .$ By restricting these sums over the…