{
  "id": "2102.11404",
  "version": "v1",
  "published": "2021-02-22T23:20:30.000Z",
  "updated": "2021-02-22T23:20:30.000Z",
  "title": "The Local Gan-Gross-Prasad Conjecture for Special Orthogonal Groups over Archimedean Local Fields",
  "authors": [
    "Cheng Chen"
  ],
  "comment": "31 pages",
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "In the paper, we prove the local Gan-Gross-Prasad conjecture for special orthogonal groups over archimedean local fields for generic local $L$-parameters. The non-archimedean case was proved by C. Moeglin and J.-L. Waldspurger in \\cite{moeglin2012conjecture}. When the local $L$-parameters are tempered, the conjecture was proved by Waldspurger in \\cite{waldspurger2009conjecture} for non-archimedean local fields and by Zhilin Luo in \\cite{luo2020local} for archimedean local fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-22T23:20:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "special orthogonal groups",
      "local gan-gross-prasad conjecture",
      "non-archimedean local fields",
      "generic local",
      "parameters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}