{
  "id": "1110.1689",
  "version": "v1",
  "published": "2011-10-08T02:34:03.000Z",
  "updated": "2011-10-08T02:34:03.000Z",
  "title": "Notes on partial conjugation",
  "authors": [
    "Chuying Fang",
    "Xuhua He"
  ],
  "comment": "11 pages. To appear in ICCM 2010 proceeding",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this notes, we will give an exposition of some results on the method of partial conjugation action. We first discuss the partial conjugation action of a parabolic subgroup of a Coxeter group. We then discuss some applications to Lusztig's $G$-stable pieces and its affine generalization. We also discuss some recent work on the $\\s$-conjugacy classes of loop groups and affine Deligne-Lusztig varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-08T02:34:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F55",
      "20E45",
      "20G25"
    ],
    "keywords": [
      "partial conjugation action",
      "affine deligne-lusztig varieties",
      "coxeter group",
      "affine generalization",
      "conjugacy classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.1689F"
    }
  }
}