{
  "id": "1807.08232",
  "version": "v1",
  "published": "2018-07-22T03:27:01.000Z",
  "updated": "2018-07-22T03:27:01.000Z",
  "title": "Depth preserving property of the local Langlands correspondence for non-quasi-split unitary groups",
  "authors": [
    "Masao Oi"
  ],
  "comment": "25 pages",
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "In this paper, we extend our result on a depth preserving property of the local Langlands correspondence for quasi-split unitary groups (arXiv:1804.10901) to non-quasi-split unitary groups by using the local theta correspondence. The key ingredients are a depth preserving property of the local theta correspondence proved by Pan and a description of the local theta correspondence via the local Langlands correspondence established by Gan--Ichino. To combine them, we compare splittings for metaplectic covers of unitary groups constructed by Kudla with those constructed by Pan.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-22T03:27:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50",
      "11F70",
      "11F27"
    ],
    "keywords": [
      "local langlands correspondence",
      "depth preserving property",
      "non-quasi-split unitary groups",
      "local theta correspondence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}