{
  "id": "0809.4173",
  "version": "v4",
  "published": "2008-09-24T12:33:17.000Z",
  "updated": "2011-02-03T18:38:15.000Z",
  "title": "Some irreducible representations of the braid group B_n of dimension greater than n",
  "authors": [
    "Claudia Maria Egea",
    "Esther Galina"
  ],
  "comment": "6 pages, revised version to appear in J. of Knot Theory and its Ramifications, Theorem 2.3 corrected",
  "journal": "J. Knot Theory and Ramfications Vol 19 No 4 (2010)",
  "doi": "10.1142/10.1142/S0218216510007966",
  "categories": [
    "math.RT"
  ],
  "abstract": "For any n>3, we give a family of finite dimensional irreducible representations of the braid group B_n. Moreover, we give a subfamily parametrized by 0<m<n of dimension the combinatoric number (n,m). The representation obtained in the case m=1 is equivalent to the Standard representation.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-02-03T18:38:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22C99",
      "20F36"
    ],
    "keywords": [
      "braid group",
      "dimension greater",
      "finite dimensional irreducible representations",
      "standard representation",
      "combinatoric number"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.4173E"
    }
  }
}