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arXiv:1003.5811 [math.RT]AbstractReferencesReviewsResources

Finite W-algebras

Ivan Losev

Published 2010-03-30Version 1

A finite W-algebra is an associative algebra constructed from a semisimple Lie algebra and its nilpotent element. In this survey we review recent developments in the representation theory of W-algebras. We emphasize various interactions between W-algebras and universal enveloping algebras.

Comments: The text of a sectional talk for ICM 2010. 21 pages
Categories: math.RT
Subjects: 16G99, 17B35, 53D20, 53D55
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