{
  "id": "2002.05872",
  "version": "v1",
  "published": "2020-02-14T04:58:53.000Z",
  "updated": "2020-02-14T04:58:53.000Z",
  "title": "Mod $\\ell$ Weil representations and Deligne--Lusztig inductions for unitary groups",
  "authors": [
    "Naoki Imai",
    "Takahiro Tsushima"
  ],
  "comment": "26 pages",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "We study a decomposition of the mod $\\ell$ Weil representation of a finite unitary group via Deligne--Lusztig inductions. We study also its decomposition as representations of a symplectic group, and give a construction of mod $\\ell$ Howe correspondence for $(\\mathit{Sp}_{2n},O_2^-)$ including the case where $p=2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-14T04:58:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C33",
      "11F27"
    ],
    "keywords": [
      "weil representation",
      "deligne-lusztig inductions",
      "finite unitary group",
      "decomposition",
      "howe correspondence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}