{
  "id": "1105.6004",
  "version": "v1",
  "published": "2011-05-30T14:19:58.000Z",
  "updated": "2011-05-30T14:19:58.000Z",
  "title": "On local newforms for unramified U(2,1)",
  "authors": [
    "Michitaka Miyauchi"
  ],
  "comment": "16 pages",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "Let G be the unramified unitary group in three variables defined over a p-adic field F of odd residual characteristic. In this paper, we investigate local newforms for irreducible admissible representations of G. We introduce a family of open compact subgroups {K_n} of G to define the local newforms for representations of G as the K_n-fixed vectors. We prove the existence of local newforms for generic representations and the multiplicity one property of the local newforms for admissible representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-30T14:19:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50",
      "22E35"
    ],
    "keywords": [
      "local newforms",
      "odd residual characteristic",
      "open compact subgroups",
      "unramified unitary group",
      "p-adic field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.6004M"
    }
  }
}