{
  "id": "2008.01771",
  "version": "v1",
  "published": "2020-08-04T19:14:20.000Z",
  "updated": "2020-08-04T19:14:20.000Z",
  "title": "Local Langlands Correspondence for Unitary Groups via Theta Lifts",
  "authors": [
    "Rui Chen",
    "Jialiang Zou"
  ],
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "Using the theta correspondence, we extend the classification of irreducible representations of quasi-split unitary groups (the so-called local Langlands correspondence, which was established in an early paper of Mok) to non quasi-split unitary groups. We also prove that our classification satisfies some good properties, which characterize it uniquely. In particular, this provides an alternative approach to the works of Kaletha-Minguez-Shin-White and Moeglin-Renard.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-04T19:14:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local langlands correspondence",
      "theta lifts",
      "non quasi-split unitary groups",
      "theta correspondence",
      "classification satisfies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}