{
  "id": "2008.02632",
  "version": "v1",
  "published": "2020-08-04T19:13:48.000Z",
  "updated": "2020-08-04T19:13:48.000Z",
  "title": "Local Langlands Correspondence for Even Orthogonal Groups via Theta Lifts",
  "authors": [
    "Rui Chen",
    "Jialiang Zou"
  ],
  "comment": "69 pages. arXiv admin note: text overlap with arXiv:1502.03528 by other authors",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "Using theta correspondence, we obtain a classification of the irreducible representations of an arbitrary even orthogonal group (i.e. the local Langlands correspondence) by deducing it from the local Langlands correspondence for symplectic groups due to Arthur. Moreover,we show that our classifications coincide with the local Langlands correspondence established by Arthur and formulated precisely by Atobe-Gan for quasi-split even orthogonal groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-04T19:13:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local langlands correspondence",
      "orthogonal group",
      "theta lifts",
      "theta correspondence",
      "symplectic groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 69,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}