{
  "id": "0812.0059",
  "version": "v1",
  "published": "2008-11-29T08:53:46.000Z",
  "updated": "2008-11-29T08:53:46.000Z",
  "title": "Multiplicities of the discrete series",
  "authors": [
    "Paul-Emile Paradan"
  ],
  "categories": [
    "math.RT",
    "math.SG"
  ],
  "abstract": "The purpose of this paper is to show that the multiplicities of a discrete series representation relatively to a compact subgroup can be \"computed\" geometrically, in the way predicted by the \"qantization commutes with reduction\" principle of Guillemin-Sternberg.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-11-29T08:53:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multiplicities",
      "discrete series representation",
      "compact subgroup",
      "qantization commutes",
      "guillemin-sternberg"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.0059P"
    }
  }
}