### Irreducible finite dimensional representations of W-algebras

**Losev, I ***(MIT)*

Wednesday 25 March 2009, 09:00-10:00

Seminar Room 1, Newton Institute

#### Abstract

W-algebras (of finite type) are certain associative algebras constructed from nilpotent orbits in semisimple Lie algebras. In this talk I am going to describe a relation between irreducible finite dimensional representations of a W-algebra and primitive ideals of the universal enveloping algebra whose associated variety coincides with the closure of the given orbit.

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