{
  "id": "1204.3521",
  "version": "v2",
  "published": "2012-04-16T15:21:33.000Z",
  "updated": "2012-06-21T16:55:14.000Z",
  "title": "Restriction of a character sheaf to conjugacy classes",
  "authors": [
    "G. Lusztig"
  ],
  "comment": "12 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let A be a character sheaf on a reductive connected group G over an algebraically closed field. Assuming that the characteristic is not bad, we show that for certain conjugacy classes D in G the restriction of A to D is a local system up to shift; we also give a parametrization of unipotent cuspidal character sheaves on G in terms of restrictions to conjugacy classes. Without restriction on characteristic we define canonical bijections from the set of unipotent character sheaves on G (and from the set of unipotent representations of the corresponding split reductive group over a finite field) to a set combinatorially defined in terms of the Weyl group.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-06-21T16:55:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conjugacy classes",
      "character sheaf",
      "restriction",
      "unipotent cuspidal character sheaves",
      "unipotent character sheaves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.3521L"
    }
  }
}