{
  "id": "1503.07337",
  "version": "v1",
  "published": "2015-03-25T11:18:03.000Z",
  "updated": "2015-03-25T11:18:03.000Z",
  "title": "Branching laws for the metaplectic cover of ${\\rm GL}_{2}$",
  "authors": [
    "Shiv Prakash Patel"
  ],
  "comment": "22 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $F$ be a non-Archimedian local field of characteristic zero and $E/F$ a quadratic extension. The aim of the present article is to study the multiplicity of an irreducible admissible representation of ${\\rm GL}_2(F)$ occurring in an irreducible admissible genuine representation of non-trivial two fold covering $\\widetilde{{\\rm GL}}_2(E)$ of ${\\rm GL}_2(E)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-25T11:18:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E35",
      "22E50"
    ],
    "keywords": [
      "metaplectic cover",
      "branching laws",
      "non-archimedian local field",
      "characteristic zero",
      "quadratic extension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}