{
  "id": "1501.01778",
  "version": "v1",
  "published": "2015-01-08T09:48:53.000Z",
  "updated": "2015-01-08T09:48:53.000Z",
  "title": "Geometric realizations of Lusztig's symmetries",
  "authors": [
    "Jie Xiao",
    "Minghui Zhao"
  ],
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "In this paper, we give geometric realizations of Lusztig's symmetries. We also give projective resolutions of a kind of standard modules. By using the geometric realizations and the projective resolutions, we obtain the categorification of the formulas of Lusztig's symmetries.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-08T09:48:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "17B37"
    ],
    "keywords": [
      "lusztigs symmetries",
      "geometric realizations",
      "projective resolutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150101778X"
    }
  }
}