{
  "id": "1702.04897",
  "version": "v1",
  "published": "2017-02-16T09:09:43.000Z",
  "updated": "2017-02-16T09:09:43.000Z",
  "title": "Distinguished regular supercuspidal representations",
  "authors": [
    "Chong Zhang"
  ],
  "comment": "preliminary version. comments welcome",
  "categories": [
    "math.RT"
  ],
  "abstract": "Based on recent work of Kaletha, we aim to apply Hakim-Murnaghan theory to study distinguished regular supercuspidal representations of tamely ramified p-adic reductive groups, and investigate the relation between distinction and Langlands functoriality. Assuming p is sufficiently large, we obtain a necessary condition in general case, and sufficient and necessary conditions in depth-zero case, for regular supercuspidal representations to be distinguished.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-16T09:09:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "necessary condition",
      "study distinguished regular supercuspidal representations",
      "depth-zero case",
      "tamely ramified p-adic reductive groups",
      "apply hakim-murnaghan theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}