Branching rules for wreath products

Sun, 27/12/2015 - 14:00

The branching rules for representations of the symmetric group are one of the gems of representation theory. In this talk we will give a natural generalization of some branching rules to the case of a wreath product of a finite group with the symmetric group. 

The rules we will generalize are the Littlewood-Richardson rule and the "classical" rules for inducting from S_{n} to S_{n+1} and restricting from S_{n+1} to S_{n}. If time allows we will give an application to the quiver computation of a natural family of categor algebras.