{
  "id": "math/0609430",
  "version": "v4",
  "published": "2006-09-15T17:21:17.000Z",
  "updated": "2010-05-28T03:59:32.000Z",
  "title": "Restrictions of the Complementary Series of the Universal Covering of the Symplectic Group",
  "authors": [
    "Hongyu He"
  ],
  "comment": "15 pages, 1 figure (not included due to technical difficulties with arxiv.org)",
  "journal": "Journal of Lie Theory 20 No 1 31-48 (2010)",
  "categories": [
    "math.RT",
    "math.FA"
  ],
  "abstract": "We study the restrictions of certain degenerate principal series representations of the universal covering of the symplectic group. We construct an isometry between the complementary series and the unitary principal series which preserves the action of a symplectic subgroup no bigger than half of the size of the original group.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2010-05-28T03:59:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complementary series",
      "symplectic group",
      "universal covering",
      "restrictions",
      "degenerate principal series representations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9430H"
    }
  }
}