%0 Journal Article
%T Finite dimensional representations of W-algebras
%A Ivan Losev
%J Mathematics
%D 2008
%I arXiv
%X W-algebras of finite type are certain finitely generated associative algebras closely related to the universal enveloping algebras of semisimple Lie algebras. In this paper we prove a conjecture of Premet that gives an almost complete classification of finite dimensional irreducible modules for W-algebras. Also we study a relation between Harish-Chandra bimodules and bimodules over $W$-algebras.
%U http://arxiv.org/abs/0807.1023v7