{
  "id": "math/0312338",
  "version": "v1",
  "published": "2003-12-17T16:43:51.000Z",
  "updated": "2003-12-17T16:43:51.000Z",
  "title": "Character sheaves on disconnected groups, IV",
  "authors": [
    "G. Lusztig"
  ],
  "comment": "37 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let G be a possibly disconnected reductive group over a finite field with Frobenius map F. The main result of this paper is that the characteristic functions af \"admissible complexes\" A on G such that F^*A is isomorphic to A form a basis of the space of functions on G^F that are constant on G^{0F}-conjugacy classes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-12-17T16:43:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "character sheaves",
      "disconnected groups",
      "characteristic functions af",
      "main result",
      "finite field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12338L"
    }
  }
}