London Algebra Colloquium abstract

Graded representation theory of symmetric groups

Alexander Kleshchev (Oregon), 29th January 2009

Abstract

Recently Brundan and the speaker have constructed a grading on group algebra of the symmetric group. This opens a way for studying graded representation theory of symmetric groups. We will explain how to classify modules concentrated in one degree and implications for the categorification picture of the integrable representations of Kac–Moody algebras.