{
  "id": "1601.00333",
  "version": "v1",
  "published": "2016-01-03T20:04:14.000Z",
  "updated": "2016-01-03T20:04:14.000Z",
  "title": "Branching Rules for $n$-fold Covering Groups of $\\mathrm{SL}_2$ over a Non-Archimedean Local Field",
  "authors": [
    "Camelia Karimianpour"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $\\widetilde{G}$ be the $n$-fold covering group of the special linear group of degree two, over a non-Archimedean local field. We determine the decomposition into irreducibles of the restriction of the principal series representations of $\\widetilde{G}$ to a maximal compact subgroup of $\\widetilde{G}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-03T20:04:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G05"
    ],
    "keywords": [
      "non-archimedean local field",
      "fold covering group",
      "branching rules",
      "special linear group",
      "principal series representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}