{
  "id": "1907.07994",
  "version": "v1",
  "published": "2019-07-18T11:21:33.000Z",
  "updated": "2019-07-18T11:21:33.000Z",
  "title": "Branching laws of unitary representations associated to minimal elliptic orbits for indefinite orthogonal group O(p,q)",
  "authors": [
    "Toshiyuki Kobayashi"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We give a complete description of the discrete spectra in the branching law $\\Pi|_{G'}$ with respect to the pair $(G,G')=(O(p,q), O(p',q') \\times O(p'',q''))$ for irreducible unitary representations $\\Pi$ of $G$ that are \"geometric quantization\" of minimal elliptic coadjoint orbits. We also construct explicitly all holographic operators and prove a closed Parseval-type formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-18T11:21:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E46",
      "22E45",
      "53C50",
      "58J42",
      "53D50"
    ],
    "keywords": [
      "minimal elliptic orbits",
      "indefinite orthogonal group",
      "branching law",
      "minimal elliptic coadjoint orbits",
      "irreducible unitary representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}