{
  "id": "2210.00251",
  "version": "v1",
  "published": "2022-10-01T11:14:20.000Z",
  "updated": "2022-10-01T11:14:20.000Z",
  "title": "Some Unipotent Arthur Packets for Reductive $p$-adic Groups",
  "authors": [
    "Dan Ciubotaru",
    "Lucas Mason-Brown",
    "Emile Okada"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2112.14354",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $k$ be a $p$-adic field and let $\\mathbf{G}(k)$ be the $k$-points of a connected reductive group, inner to split. The set of Aubert-Zelevinsky duals of the constituents of a tempered L-packet form an Arthur packet for $\\mathbf{G}(k)$. In this paper, we give an alternative characterization of such Arthur packets in terms of the wavefront set, proving in some instances a conjecture of Jiang-Liu and Shahidi. Pursuing an analogy with real and complex groups, we define some special unions of Arthur packets which we call \\emph{weak} Arthur packets and describe their constituents in terms of their Langlands parameters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-01T11:14:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50",
      "11F70"
    ],
    "keywords": [
      "unipotent arthur packets",
      "adic groups",
      "adic field",
      "tempered l-packet form",
      "langlands parameters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}