{
  "id": "math/0311104",
  "version": "v2",
  "published": "2003-11-07T10:17:07.000Z",
  "updated": "2004-02-05T17:40:39.000Z",
  "title": "On the index of certain Lie algebras",
  "authors": [
    "Patrice Tauvel",
    "Rupert W. T. Yu"
  ],
  "comment": "This paper is written in French. There is an english abstract. This second version contains minor corrections",
  "journal": "Annales de l'Institut Fourier, 54 (2004) 1793-1810",
  "categories": [
    "math.RT"
  ],
  "abstract": "We give an upper bound for the index of certain Lie algebras, called of seaweed type, introduced by V. Dergachev, A. Kirillov and D. Panyushev. We deduce from this a conjecture of D. Panyushev stated in \"Inductive formulas for the index of seaweed Lie algebra, Moscow Math. Journal (2001) 221-241\". We conjecture that our upper bound gives in fact a formula for the index of such Lie algebras, and we prove it in certain cases. Finally, we obtain a result concerning the index of parabolic subalgebras of a semisimple Lie algebra.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-02-05T17:40:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B05",
      "17B20"
    ],
    "keywords": [
      "upper bound",
      "semisimple lie algebra",
      "parabolic subalgebras",
      "moscow math",
      "conjecture"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "fr",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....11104T"
    }
  }
}