{
  "id": "1701.07329",
  "version": "v1",
  "published": "2017-01-25T14:21:06.000Z",
  "updated": "2017-01-25T14:21:06.000Z",
  "title": "Deligne-Lusztig duality and wonderful compactification",
  "authors": [
    "Joseph Bernstein",
    "Roman Bezrukavnikov",
    "David Kazhdan"
  ],
  "comment": "12pp",
  "categories": [
    "math.RT"
  ],
  "abstract": "We use geometry of the wonderful compactification to obtain a new proof of the relation between Deligne-Lusztig (or Alvis-Curtis) duality for $p$-adic groups to homological duality. This provides a new way to introduce an involution on the set of irreducible representations of the group, which has been earlier defined by A. Zelevinsky for $G=GL(n)$ by A.-M. Aubert in general.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-25T14:21:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "wonderful compactification",
      "deligne-lusztig duality",
      "adic groups",
      "homological duality",
      "involution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}