{
  "id": "1609.08998",
  "version": "v1",
  "published": "2016-09-28T16:36:17.000Z",
  "updated": "2016-09-28T16:36:17.000Z",
  "title": "Unipotent representations and the dual pair correspondence",
  "authors": [
    "Dan Barbasch"
  ],
  "comment": "dedicated to Roger Howe",
  "categories": [
    "math.RT"
  ],
  "abstract": "This paper provides a construction of the unipotent representations for classical complex groups in terms of the Theta correspondence as introduced and studied by R. Howe. The K-type structure of unipotent representations is obtained as a consequence of the character formulas for unipotent representations of D. Vogan and the author. This provides a tight link between unipotent representations and the orbit philosophy. A parametrization of unipotent representations for the Spin groups is obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-28T16:36:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E46"
    ],
    "keywords": [
      "unipotent representations",
      "dual pair correspondence",
      "orbit philosophy",
      "tight link",
      "character formulas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}