{
  "id": "2307.08174",
  "version": "v1",
  "published": "2023-07-17T00:00:43.000Z",
  "updated": "2023-07-17T00:00:43.000Z",
  "title": "Local newforms for generic representations of unramified even unitary groups I: Even conductor case",
  "authors": [
    "Hiraku Atobe"
  ],
  "comment": "34 pages",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "In this paper, we define compact open subgroups of quasi-split even unitary groups for each even non-negative integers, and establish the theory of local newforms for irreducible tempered generic representations with a certain condition on the central characters. To do this, we use the local Gan-Gross-Prasad conjecture, the local Rankin-Selberg integrals, and the local theta correspondence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-17T00:00:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local newforms",
      "unitary groups",
      "conductor case",
      "define compact open subgroups",
      "local rankin-selberg integrals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}