15 July 2011 Finite-dimensional representations of W-algebras
Ivan Losev
Author Affiliations +
Duke Math. J. 159(1): 99-143 (15 July 2011). DOI: 10.1215/00127094-1384800

Abstract

W-algebras of finite type are certain finitely generated associative algebras closely related to the universal enveloping algebras of semisimple Lie algebras. In this article, we prove a conjecture of Premet that gives an almost complete classification of finite-dimensional irreducible modules for W-algebras. A key ingredient in our proof is a relationship between Harish-Chandra bimodules and bimodules over W-algebras that is also of independent interest.

Citation

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Ivan Losev. "Finite-dimensional representations of W-algebras." Duke Math. J. 159 (1) 99 - 143, 15 July 2011. https://doi.org/10.1215/00127094-1384800

Information

Published: 15 July 2011
First available in Project Euclid: 11 July 2011

zbMATH: 1235.17007
MathSciNet: MR2817650
Digital Object Identifier: 10.1215/00127094-1384800

Subjects:
Primary: 16G99 , 17B35

Rights: Copyright © 2011 Duke University Press

Vol.159 • No. 1 • 15 July 2011
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