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Finite W-algebras

Published 30 Mar 2010 in math.RT | (1003.5811v1)

Abstract: 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.

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