{
  "id": "math/0104162",
  "version": "v1",
  "published": "2001-04-16T19:30:59.000Z",
  "updated": "2001-04-16T19:30:59.000Z",
  "title": "Lusztig's Canonical Quotient and Generalized Duality",
  "authors": [
    "Eric Sommers"
  ],
  "comment": "21 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We present a new characterization of Lusztig's canonical quotient group. We also define a duality map: to a pair consisting of a nilpotent orbit and a conjugacy class in its fundamental group, the map assigns a nilpotent orbit in the Langlands dual Lie algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-04-16T19:30:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalized duality",
      "langlands dual lie algebra",
      "nilpotent orbit",
      "lusztigs canonical quotient group",
      "conjugacy class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......4162S"
    }
  }
}