{
  "id": "1309.6240",
  "version": "v1",
  "published": "2013-09-24T16:14:18.000Z",
  "updated": "2013-09-24T16:14:18.000Z",
  "title": "On Extension of Ginzburg-Jiang-Soudry Correspondence to Certain Automorphic Forms on $Sp_{4mn}(\\BA)$ and $\\wt{Sp}_{4mn \\pm 2n}(\\BA)$",
  "authors": [
    "Baiying Liu"
  ],
  "comment": "54 pages",
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "Let $F$ be a number field, and $\\BA=\\BA_F$. In this paper, first, we provide a family of global Arthur parameters confirming all parts of a general conjecture on the relation between the structure of Fourier coefficients and the structure of global Arthur parameters, given by Jiang in 2012. Then we extend a correspondence between certain automorphic forms on $Sp_{4n}(\\BA)$ and $\\wt{Sp}_{2n}(\\BA)$, given by Ginzburg, Jiang and Soudry in 2012, to certain automorphic forms on $Sp_{4mn}(\\BA)$ and $\\wt{Sp}_{4mn \\pm 2n}(\\BA)$, using the same idea of considering compositions of automorphic descent maps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-09-24T16:14:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E55",
      "11F70"
    ],
    "keywords": [
      "automorphic forms",
      "ginzburg-jiang-soudry correspondence",
      "automorphic descent maps",
      "number field",
      "general conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 54,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.6240L"
    }
  }
}