{
  "id": "math/0403529",
  "version": "v1",
  "published": "2004-03-31T19:21:34.000Z",
  "updated": "2004-03-31T19:21:34.000Z",
  "title": "Motivic nature of character values of depth-zero representations",
  "authors": [
    "Julia Gordon"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "It is shown that the values of Harish-Chandra distribution characters on definable compact subsets of the set of topologically unipotent elements of symplectic or special orthogonal p-adic groups can be expressed as the trace of Frobenius action on virtual Chow motives. The result is restricted to a class of depth-zero representations that can be obtained by inflation from Deligne-Lusztig representations. The proof relies on arithmetic motivic integration.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-03-31T19:21:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22D12",
      "03C10"
    ],
    "keywords": [
      "depth-zero representations",
      "character values",
      "motivic nature",
      "special orthogonal p-adic groups",
      "arithmetic motivic integration"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......3529G"
    }
  }
}