{
  "id": "2111.09195",
  "version": "v3",
  "published": "2021-11-17T15:40:08.000Z",
  "updated": "2023-04-29T08:29:30.000Z",
  "title": "Theta liftings for $(\\mathrm{GL}_n,\\mathrm{GL}_n)$ type dual pairs of loop groups",
  "authors": [
    "Yanze Chen",
    "Yongchang Zhu"
  ],
  "comment": "26 pages, with more complete proofs",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "In this article we prove the theta liftings of a cusp form on the loop group $\\mathrm{GL}_n$ induced from a classical cusp form for the loop group ``dual pair'' $(\\mathrm{GL}_n,\\mathrm{GL}_n)$ is an Eisenstein series.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2023-04-29T08:29:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "loop group",
      "type dual pairs",
      "theta liftings",
      "classical cusp form",
      "eisenstein series"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}