Mathematics – Representation Theory
Scientific paper
2010-03-30
Mathematics
Representation Theory
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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