Finite W-algebras

Mathematics – Representation Theory

Scientific paper

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The text of a sectional talk for ICM 2010. 21 pages

Scientific paper

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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