English

Finite W-algebras

Representation Theory 2010-03-31 v1

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.

Keywords

Cite

@article{arxiv.1003.5811,
  title  = {Finite W-algebras},
  author = {Ivan Losev},
  journal= {arXiv preprint arXiv:1003.5811},
  year   = {2010}
}

Comments

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

R2 v1 2026-06-21T15:04:29.960Z