{
  "id": "math/0311018",
  "version": "v3",
  "published": "2003-11-03T14:50:48.000Z",
  "updated": "2004-10-14T09:41:24.000Z",
  "title": "On the parametrization of the simple modules for Ariki-Koike algebras at roots of unity",
  "authors": [
    "Nicolas Jacon"
  ],
  "comment": "37 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Following ideas of Geck and Rouquier, we show that there exists a ``canonical basic set'' of Specht modules in bijection with the simple modules of Ariki-Koike algebras at roots of unity. Moreover, we determine the parametrization of this set and we give the consequences of these results on the representation theory of Ariki-Koike algebras.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2004-10-14T09:41:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C08"
    ],
    "keywords": [
      "ariki-koike algebras",
      "simple modules",
      "parametrization",
      "representation theory",
      "specht modules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....11018J"
    }
  }
}