{
  "id": "1706.02389",
  "version": "v1",
  "published": "2017-06-07T21:40:13.000Z",
  "updated": "2017-06-07T21:40:13.000Z",
  "title": "Conjugacy classes in reductive groups and two-sided cells",
  "authors": [
    "G. Lusztig"
  ],
  "comment": "22 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let G' be a connected reductive group over the complex numbers. We show that the set of conjugacy classes of G' is in natural bijection with the set of two-sided cells associated to a certain algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-07T21:40:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conjugacy classes",
      "two-sided cells",
      "complex numbers",
      "natural bijection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}