A decomposition rule for certain tensor product representations of the symmetric groups

Takahiro Hayashi

Published 2015-07-08Version 1

In this paper, we give a combinatorial rule to calculate the decomposition of the tensor product (Kronecker product) of two irreducible complex representations of the symmetric group ${\mathfrak S}_n$, when one of the representations corresponds to a hook $(n-m, 1^m)$.