{
  "id": "2212.05234",
  "version": "v1",
  "published": "2022-12-10T07:29:34.000Z",
  "updated": "2022-12-10T07:29:34.000Z",
  "title": "A local converse theorem for $Mp_{2n}$ : the generic case",
  "authors": [
    "Jaeho Haan"
  ],
  "comment": "Comments are welcome!",
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "In this paper, we prove the local converse theorem for $Mp_{2n}$ via the precise local theta correspondence between $Mp_{2n}$ and $SO_{2n+1}$. As an application, we prove the rigidity theorem for irreducible generic cuspidal automorphic representations of $Mp_{2n}$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-10T07:29:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local converse theorem",
      "generic case",
      "irreducible generic cuspidal automorphic representations",
      "precise local theta correspondence",
      "rigidity theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}