{
  "id": "2308.05029",
  "version": "v1",
  "published": "2023-08-09T15:55:14.000Z",
  "updated": "2023-08-09T15:55:14.000Z",
  "title": "Dihedral long root A-packets of $p$-adic $G_2$ via theta correspondence",
  "authors": [
    "Raúl Alonso",
    "Qiao He",
    "Mishty Ray",
    "Martí Roset"
  ],
  "comment": "41 pages. Comments welcome",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "We construct local Arthur packets associated with a dihedral long root $A$-parameter of a split reductive group of type $G_2$ over a nonarchimedian local field of characteristic zero. The construction relies on an exceptional correspondence for the pair $(\\mathrm{PU}_3\\rtimes \\mathbb{Z}/2\\mathbb{Z}, G_2)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-09T15:55:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F27",
      "11F70",
      "22E50"
    ],
    "keywords": [
      "dihedral long root a-packets",
      "theta correspondence",
      "construct local arthur packets",
      "nonarchimedian local field",
      "exceptional correspondence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}