2010-04-16

Ivan Losev, MIT

Irreducible finite dimensional representations of W-algebras

A (finite) W-algebra is an associative algebra constructed from a semisimple Lie algebra g and its nilpotent orbit. In this talk I am going to describe a relation between between irreducible finite dimensional modules over a W-algebra and primitive ideals in the universal enveloping algebra U(g) of g.