Finite W-algebras

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.

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

Cited by in corpus (2)

• Minimal W-superalgebras and modular representations of basic Lie superalgebras
• A Morita theorem for modular finite W-algebras