{
  "id": "1303.5141",
  "version": "v1",
  "published": "2013-03-21T01:55:19.000Z",
  "updated": "2013-03-21T01:55:19.000Z",
  "title": "Weil representations over finite fields and Shintani lift",
  "authors": [
    "Guy Henniart",
    "Chun-Hui Wang"
  ],
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "Let Sp_V(F) be the group of isometries of a symplectic vector space V over a finite field F of odd cardinality. The group Sp_V(F) possesses distinguished representations--- the Weil representations. We know that they are compatible with base change in the sense of Shintani for a finite extension F'/F. The result is also true for the group of similitudes of V.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-21T01:55:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F27",
      "20C33"
    ],
    "keywords": [
      "finite field",
      "weil representations",
      "shintani lift",
      "symplectic vector space",
      "odd cardinality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.5141H"
    }
  }
}