{
  "id": "1305.7168",
  "version": "v6",
  "published": "2013-05-30T17:21:46.000Z",
  "updated": "2014-05-26T18:59:53.000Z",
  "title": "On conjugacy classes in a reductive group",
  "authors": [
    "G. Lusztig"
  ],
  "comment": "31 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let G be a connected reductive group over an algebraically closed field. We define a decomposition of G into finitely many strata such that each stratum is a union of conjugacy classes of fixed dimension; the strata are indexed by a set defined in terms of the Weyl group which is independent of the characteristic. In the case where $G$ is replaced by the corresponding loop group we define an analogous decomposition of the set of regular semisimple compact elements into countably many strata.",
  "revisions": [
    {
      "version": "v6",
      "updated": "2014-05-26T18:59:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conjugacy classes",
      "reductive group",
      "regular semisimple compact elements",
      "decomposition",
      "corresponding loop group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.7168L"
    }
  }
}