{
  "id": "0903.3453",
  "version": "v3",
  "published": "2009-03-20T04:49:06.000Z",
  "updated": "2011-03-02T13:53:27.000Z",
  "title": "Graded $q$-Schur algebras",
  "authors": [
    "Susumu Ariki"
  ],
  "comment": "25 pages, (v2) added details of the proof, (v3) have changed notations to standard ones and corrected various confusions",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "Generalizing recent work of Brundan and Kleshchev, we introduce grading on Dipper-James' $q$-Schur algebra, and prove a graded analogue of the Leclerc and Thibon's conjecture on the decomposition numbers of the $q$-Schur algebra when $q^2\\neq1$ and $q^3\\neq1$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-03-02T13:53:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B37"
    ],
    "keywords": [
      "schur algebra",
      "thibons conjecture",
      "decomposition numbers",
      "dipper-james"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.3453A"
    }
  }
}