{
  "id": "1408.5742",
  "version": "v1",
  "published": "2014-08-25T13:16:03.000Z",
  "updated": "2014-08-25T13:16:03.000Z",
  "title": "Morita's Duality for Split Reductive Groups",
  "authors": [
    "Zhi Qi"
  ],
  "comment": "27 pages",
  "journal": "J. Number Theory 132 (2012), no. 8, 1664-1685",
  "doi": "10.1016/j.jnt.2012.01.017",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we extend the work in \"Morita's Theory for the Symplectic Groups\" to split reductive groups. We construct and study the holomorphic discrete series representations and the principal series representations of a split reductive group $\\mathrm {G}$ over a $p$-adic field $F$ as well as a duality between certain sub-representations of these two representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-25T13:16:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "split reductive group",
      "moritas duality",
      "holomorphic discrete series representations",
      "principal series representations",
      "symplectic groups"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.5742Q"
    }
  }
}