{
  "id": "math/0703447",
  "version": "v2",
  "published": "2007-03-15T09:52:11.000Z",
  "updated": "2007-12-11T07:42:08.000Z",
  "title": "Dipper-James-Murphy's conjecture for Hecke algebras of type B",
  "authors": [
    "Susumu Ariki",
    "Nicolas Jacon"
  ],
  "comment": "The revised version corrects minor points, the proof of lemma 3.3 has been improved",
  "categories": [
    "math.RT"
  ],
  "abstract": "We prove a conjecture by Dipper, James and Murphy that a bipartition is restricted if and only if it is Kleshchev. Hence the restricted bipartitions naturally label the crystal graphs of level two irreducible integrable $\\mathcal{U}_v({\\hat{\\mathfrak{sl}}_e})$-modules and the simple modules of Hecke algebras of type $B_n$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-12-11T07:42:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C08",
      "17B37",
      "05E99"
    ],
    "keywords": [
      "hecke algebras",
      "dipper-james-murphys conjecture",
      "crystal graphs",
      "simple modules",
      "restricted bipartitions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......3447A"
    }
  }
}