{
  "id": "1706.05145",
  "version": "v1",
  "published": "2017-06-16T05:13:02.000Z",
  "updated": "2017-06-16T05:13:02.000Z",
  "title": "Principal series representations of metaplectic groups",
  "authors": [
    "Shiang Tang"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We study the principal series representations of central extensions of a split reductive algebraic group by a cyclic group of order $n$. We compute the Plancherel measure of the representation using Eisenstein series and a comparison method. In addition, we construct genuine central characters of the metaplectic torus in the simply-laced case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-16T05:13:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G05"
    ],
    "keywords": [
      "principal series representations",
      "metaplectic groups",
      "construct genuine central characters",
      "split reductive algebraic group",
      "central extensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}