### Representation theory of the symmetric group via categorification

**Mazorchuk, V ***(Uppsala)*

Thursday 16 April 2009, 11:00-12:00

Satellite

#### Abstract

The action of projective functors on the regular block of the BGG category O for the Lie algebra sl(n) categorifies the right regular representation of the symmetric group S(n). I will try to describe how one can use representation-theoretic properties of this action to deduce some results about representations of S(n), in particular, about simple modules, induced modules, certain filtrations, and Wedderburn's decomposition of the group algebra.