{
  "id": "0806.4496",
  "version": "v1",
  "published": "2008-06-27T11:56:58.000Z",
  "updated": "2008-06-27T11:56:58.000Z",
  "title": "Generators of simple Lie algebras II",
  "authors": [
    "Jean-Marie Bois"
  ],
  "comment": "11 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "This paper is a continuation of earlier work on generators of simple Lie algebras in arbitrary characteristic (see arXiv:0708.1711). We show that, in contrast to classical Lie algebras, simple graded Lie algebras of Cartan type S,H or K never enjoy the 'one-and-a-half generation' property. The methods rely on a study of centralisers in Cartan type Lie algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-06-27T11:56:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B50",
      "17B05",
      "17B20"
    ],
    "keywords": [
      "simple lie algebras",
      "generators",
      "cartan type lie algebras",
      "simple graded lie algebras",
      "one-and-a-half generation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0806.4496B"
    }
  }
}