{
  "id": "0706.0066",
  "version": "v1",
  "published": "2007-06-01T04:50:23.000Z",
  "updated": "2007-06-01T04:50:23.000Z",
  "title": "The $(g,K)$-module structures of principal series representations of $Sp(3,R)$",
  "authors": [
    "Tadashi Miyazaki"
  ],
  "comment": "100 pages",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "We describe explicitly the whole structures of the $(g,K)$-modules of principal series representations of $Sp(3,R)$. We apply this result to determine the holonomic system characterizing those Whittaker functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-01T04:50:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E46",
      "11F70"
    ],
    "keywords": [
      "principal series representations",
      "module structures",
      "whittaker functions",
      "holonomic system characterizing"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 100,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.0066M"
    }
  }
}