Abstract

We define analogues of Verma modules for finite W-algebras. By the usual ideas of highest weight theory, this is a first step toward the classification of finite-dimensional irreducible modules. We also introduce an analogue of the BGG category forumla. Motivated by known results in type A, we then formulate some precise conjectures in the case of nilpotent orbits of standard Levi type.

You do not currently have access to this article.