{
  "id": "0902.1907",
  "version": "v1",
  "published": "2009-02-11T14:57:38.000Z",
  "updated": "2009-02-11T14:57:38.000Z",
  "title": "Module structure of cells in unequal parameter Hecke algebras",
  "authors": [
    "Thomas Pietraho"
  ],
  "comment": "16 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "A conjecture of C. Bonnaf\\'e, M. Geck, L. Iancu, and T. Lam parameterizes Kazhdan-Lusztig left cells for unequal parameter Hecke algebras in type $B_n$ by families of standard domino tableaux of arbitrary rank. Relying on a family of properties outlined by G. Lusztig and the recent work of C. Bonnaf\\'e, we verify the conjecture and describe the structure of each cell as a module for the underlying Weyl group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-02-11T14:57:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C08"
    ],
    "keywords": [
      "unequal parameter hecke algebras",
      "module structure",
      "lam parameterizes kazhdan-lusztig left cells",
      "standard domino tableaux",
      "underlying weyl group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.1907P"
    }
  }
}