{
  "id": "0811.1674",
  "version": "v2",
  "published": "2008-11-11T10:31:46.000Z",
  "updated": "2009-04-07T16:06:24.000Z",
  "title": "An upper bound on the exceptional characteristics for Lusztig's character formula",
  "authors": [
    "Peter Fiebig"
  ],
  "comment": "28 pages, minor revision",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We develop and study a Lefschetz theory in a combinatorial category associated to a root system and derive an upper bound on the exceptional characteristics for Lusztig's formula for the simple rational characters of a reductive algebraic group. Our bound is huge compared to the Coxeter number. It is, however, given by an explicit formula.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-04-07T16:06:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lusztigs character formula",
      "upper bound",
      "exceptional characteristics",
      "simple rational characters",
      "lefschetz theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.1674F"
    }
  }
}