Stability of Restrictions of Representations of the Symmetric Group to the Hyperoctahedral Subgroup

Abstract

The paper investigates the stability properties of restrictions of irreducible representations of the symmetric group to the hyperoctahedral subgroup. A stability result is obtained, analogous to the classical Murnaghan theorem on the stability of the decomposition of tensor products of representations of the symmetric group. The proof is based on the description of these restrictions in terms of symmetric functions from the K. Koike and I. Terada's paper.