Abstract:

A large part of classical representation theory is about reducing the study of irreducible representation of groups to combinatorial families. In many cases, this is being done inductively, using methods such as Clifford Theory and the well known representation theory of Heisenberg groups. In this talk I will describe a new method, called functor morphing, for reduction of representations of automorphism groups of finite modules over finite rings, by using new methods developed in symmetric monoidal categories, that in turn relate to geometric invariant theory. This is a joint work with Tyrone Crisp and Uri Onn, and a continutation of the first talk of the seminar.