{
  "id": "1812.06607",
  "version": "v1",
  "published": "2018-12-17T04:05:23.000Z",
  "updated": "2018-12-17T04:05:23.000Z",
  "title": "Jacquet modules and local Langlands correspondence",
  "authors": [
    "Hiraku Atobe"
  ],
  "comment": "28 pages",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "In this paper, we explicitly compute the semisimplifications of all Jacquet modules of irreducible representations with generic L-parameters of p-adic split odd special orthogonal groups or symplectic groups. Our computation represents them in terms of linear combinations of standard modules with rational coefficients. The main ingredient of this computation is to apply Moeglin's explicit construction of local A-packets to tempered L-packets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-17T04:05:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local langlands correspondence",
      "jacquet modules",
      "split odd special orthogonal groups",
      "p-adic split odd special orthogonal"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}