{
  "id": "1003.5811",
  "version": "v1",
  "published": "2010-03-30T13:09:37.000Z",
  "updated": "2010-03-30T13:09:37.000Z",
  "title": "Finite W-algebras",
  "authors": [
    "Ivan Losev"
  ],
  "comment": "The text of a sectional talk for ICM 2010. 21 pages",
  "categories": [
    "math.RT"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-30T13:09:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G99",
      "17B35",
      "53D20",
      "53D55"
    ],
    "keywords": [
      "finite w-algebra",
      "semisimple lie algebra",
      "representation theory",
      "universal enveloping algebras",
      "nilpotent element"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.5811L"
    }
  }
}