Abstract
The main goal of the project is a study of the Representation Theory of W-algebras. We are planning to obtain new classes of representations of W-algebras from known representations of Kac-Moody algebras, to develop the Gelfand-Tsetlin theory for W-algebras and Affine Kac-Moody algebras and apply the theory of Galois algebras para study of representations of both finite and affine W-algeb…