{
  "id": "1501.00221",
  "version": "v1",
  "published": "2014-12-31T23:08:21.000Z",
  "updated": "2014-12-31T23:08:21.000Z",
  "title": "Some results on Bessel functionals for GSp(4)",
  "authors": [
    "Brooks Roberts",
    "Ralf Schmidt"
  ],
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "We prove that every irreducible, admissible representation of GSp(4,F), where F is a non-archimedean local field of characteristic zero, admits a Bessel functional, provided the representation is not one-dimensional. Given such a representation, we explicitly determine the set of all split Bessel functionals admitted by the representation, and prove that these functionals are unique. If the representation is not supercuspidal, or in an L-packet with a non-supercuspidal representation, we explicitly determine the set of all Bessel functionals admitted by the representation, and prove that these functionals are unique.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-31T23:08:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F70",
      "22E50",
      "11F46",
      "11F30"
    ],
    "keywords": [
      "non-archimedean local field",
      "explicitly determine",
      "characteristic zero",
      "split bessel functionals",
      "non-supercuspidal representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}