{
  "id": "2204.05079",
  "version": "v1",
  "published": "2022-04-11T13:30:58.000Z",
  "updated": "2022-04-11T13:30:58.000Z",
  "title": "Multiplicity in restricting minimal representations",
  "authors": [
    "Toshiyuki Kobayashi"
  ],
  "comment": "23 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We discuss the action of a subgroup on small nilpotent orbits, and prove a bounded multiplicity property for the restriction of minimal representations of real reductive Lie groups with respect to arbitrary reductive symmetric pairs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-11T13:30:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E46",
      "22E45",
      "53D50",
      "58J42",
      "53C50"
    ],
    "keywords": [
      "restricting minimal representations",
      "small nilpotent orbits",
      "real reductive lie groups",
      "arbitrary reductive symmetric pairs",
      "bounded multiplicity property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}