{
  "id": "0803.3335",
  "version": "v1",
  "published": "2008-03-23T17:38:20.000Z",
  "updated": "2008-03-23T17:38:20.000Z",
  "title": "Knuth Relations for the Hyperoctahedral Groups",
  "authors": [
    "Thomas Pietraho"
  ],
  "comment": "23 pages",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "C. Bonnaf{\\'e}, M. Geck, L. Iancu, and T. Lam have conjectured a description of one-sided cells in unequal parameter Hecke algebras of type $B$ which is based on domino tableaux of arbitrary rank. In the integer case, this generalizes the work of D. Garfinkle whose methods we adapt to construct a family of operators which generate the conjectured combinatorial description.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-23T17:38:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C08",
      "05E10"
    ],
    "keywords": [
      "hyperoctahedral groups",
      "knuth relations",
      "unequal parameter hecke algebras",
      "domino tableaux",
      "conjectured combinatorial description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.3335P"
    }
  }
}