{
  "id": "0803.1148",
  "version": "v3",
  "published": "2008-03-07T18:13:28.000Z",
  "updated": "2011-11-10T11:14:15.000Z",
  "title": "Plactic relations for $r$-domino tableaux",
  "authors": [
    "Muge Taskin"
  ],
  "comment": "17 pages, 12 figures",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "The work of C. Bonnaf{\\'e}, M. Geck, L. Iancu and T. Lam \\cite{Geck-Lam} shows through two conjectures that $r$-domino tableaux have an important role in Kazhdan-Lusztig theory of type $B$ with unequal parameters. In this paper we provide plactic relations on signed permutations which determine whether given two signed permutations have the same insertion $r$-domino tableaux in Garfinkle's algorithm \\cite{Garfinkle1}.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-11-10T11:14:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E10",
      "20C08"
    ],
    "keywords": [
      "domino tableaux",
      "plactic relations",
      "signed permutations",
      "important role",
      "kazhdan-lusztig theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.1148T"
    }
  }
}