{
  "id": "1804.09878",
  "version": "v1",
  "published": "2018-04-26T03:42:45.000Z",
  "updated": "2018-04-26T03:42:45.000Z",
  "title": "Theta lifts and distinction for regular supercuspidal representations",
  "authors": [
    "Chong Zhang"
  ],
  "comment": "comments welcome",
  "categories": [
    "math.RT"
  ],
  "abstract": "This article has a twofold purpose. First, by recent works of Kaletha and Loke-Ma, we give an explicit description of the local theta correspondence between regular supercuspidal representations in the equal rank symplectic-orthogonal case. Second, based on this description, we show that the local theta correspondence preserves distinction with respect to unramified Galois involutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-26T03:42:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "regular supercuspidal representations",
      "theta lifts",
      "local theta correspondence preserves distinction",
      "equal rank symplectic-orthogonal case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}