{
  "id": "math/0107173",
  "version": "v2",
  "published": "2001-07-24T07:03:07.000Z",
  "updated": "2002-01-25T05:08:41.000Z",
  "title": "K^F-invariants in irreducible representations of G^F, when G=GL_n",
  "authors": [
    "Anthony Henderson"
  ],
  "comment": "Revised version, 38 pages; same content, improved exposition",
  "journal": "J. Algebra 261 (2003), no. 1, 102--144",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "Using a general result of Lusztig, we give explicit formulas for the dimensions of K^F-invariants in irreducible representations of G^F, when G=GL_n, F:G->G is a Frobenius map, and K is an F-stable subgroup of finite index in G^theta for some involution theta:G->G commuting with F. The proofs use some combinatorial facts about characters of symmetric groups.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-01-25T05:08:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G40",
      "20C15"
    ],
    "keywords": [
      "irreducible representations",
      "general result",
      "explicit formulas",
      "frobenius map",
      "finite index"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......7173H"
    }
  }
}