{
  "id": "0905.0893",
  "version": "v2",
  "published": "2009-05-06T19:33:48.000Z",
  "updated": "2011-09-04T14:07:52.000Z",
  "title": "On complete reducibility for infinite-dimensional Lie algebras",
  "authors": [
    "M. Gorelik",
    "V. Kac"
  ],
  "comment": "63 pages; the proof of Lemma 1.3.1 is changed",
  "journal": "Adv. Math. 226 (2011), no. 2, 1911-1972",
  "categories": [
    "math-ph",
    "math.MP",
    "math.RT"
  ],
  "abstract": "In this paper we study the complete reducibility of representations of infinite-dimensional Lie algebras from the perspective of the representation theory of vertex algebras.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-09-04T14:07:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B65",
      "17B10"
    ],
    "keywords": [
      "infinite-dimensional lie algebras",
      "complete reducibility",
      "representation theory",
      "vertex algebras"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Adv. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 63,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.0893G"
    }
  }
}