Finite dimensional representations of W-algebras

Details Finite dimensional representations of W-algebras Finite dimensional representations of W-algebras

2008-07-07

arxiv.org/abs/0807.1023v7

Duke Math J. 159(2011), n.1, 99-143

Mathematics

Representation Theory

19 pages, v2, 21 pages, moderate changes, some mistakes fixed, Corollary 1.3.3 is added, v3 24 pages three new subsections and

Scientific paper

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.

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