{
  "id": "1007.5040",
  "version": "v2",
  "published": "2010-07-28T18:12:29.000Z",
  "updated": "2010-08-16T18:20:12.000Z",
  "title": "Elliptic elements in a Weyl group: a homogeneity property",
  "authors": [
    "G. Lusztig"
  ],
  "comment": "29 pages; a new section added",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let G be a reductive group over an algebraically closed field whose characteristic is not a bad prime for G. Let w be an elliptic element of the Weyl group which has minimal length in its conjugacy class. We show that there exists a unique unipotent class X in G such that the following holds: if V is the variety of pairs consisting of an element g in X and a Borel subgroup B such that B,gBg^{-1} are in relative position w, then V is a homogeneous G-space.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-08-16T18:20:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weyl group",
      "elliptic element",
      "homogeneity property",
      "unique unipotent class",
      "bad prime"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.5040L"
    }
  }
}