{
  "id": "2102.04089",
  "version": "v1",
  "published": "2021-02-08T09:51:49.000Z",
  "updated": "2021-02-08T09:51:49.000Z",
  "title": "A generalization of Duflo's conjecture",
  "authors": [
    "Hongfeng Zhang"
  ],
  "comment": "43 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this article, we generalize Duflo's conjecture to understand the branching laws of non-discrete series. We give a unified description on the geometric side about the restriction of an irreducible unitary representation $\\pi$ of $\\mathrm{GL}_n(k)$, $k=\\mathbb{R}$ or $\\mathbb{C}$, to the mirabolic subgroup, where $\\pi$ is attached to a certain kind of coadjoint orbit.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-08T09:51:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E46"
    ],
    "keywords": [
      "generalization",
      "non-discrete series",
      "generalize duflos conjecture",
      "geometric side",
      "irreducible unitary representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}