{
  "id": "math/0507057",
  "version": "v1",
  "published": "2005-07-04T10:12:18.000Z",
  "updated": "2005-07-04T10:12:18.000Z",
  "title": "Generalized Green functions and unipotent classes for finite reductive groups, I",
  "authors": [
    "Toshiaki Shoji"
  ],
  "comment": "36 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "The algorithm of computing generalized Green functions of a finite reductive group contains some unkonwn scalars occuring from the F_q structure of irreducible local systems on unipotent classes on G. In this paper, we determine such scalars in the case where G = SL_n with Frobenius map F of split or non-split type. In the case where F is of non-split type, we use the theory of graded Hecke algebras and their representations on the equivariant homology group due to Lusztig.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-07-04T10:12:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G05",
      "20G40"
    ],
    "keywords": [
      "generalized green functions",
      "unipotent classes",
      "non-split type",
      "equivariant homology group",
      "finite reductive group contains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......7057S"
    }
  }
}