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Classification of finite dimensional irreducible modules over finite W-algebras

SPEAKER: Victor Ostrik

TITLE: Classification of finite dimensional irreducible modules over finite W-algebras.

ABSTRACT Finite W-algebras are certain associative algebras generalizing the universal enveloping algebras of semisimple Lie algebras. In this talk I will describe my joint work with I. Losev on the classification of finite dimensional irreducible modules with integral central character over finite W-algebras. I will also present conjectures describing the situation for the general central character.