{
  "id": "2411.01243",
  "version": "v1",
  "published": "2024-11-02T13:38:44.000Z",
  "updated": "2024-11-02T13:38:44.000Z",
  "title": "Multiplicity free Weil representations arising from exceptional groups",
  "authors": [
    "Marcela Hanzer",
    "Gordan Savin"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "Using exceptional theta correspondences, we prove that certain Weil representations of $p$-adic groups are multiplicity free and determine irreducible quotients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-02T13:38:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E46",
      "22E47"
    ],
    "keywords": [
      "multiplicity free weil representations arising",
      "exceptional groups",
      "exceptional theta correspondences",
      "adic groups",
      "determine irreducible quotients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}