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Representation theory of the symmetric group via categorification

Mazorchuk, V (Uppsala)
Thursday 16 April 2009, 11:00-12:00



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.

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