{
  "id": "1806.03635",
  "version": "v1",
  "published": "2018-06-10T11:11:34.000Z",
  "updated": "2018-06-10T11:11:34.000Z",
  "title": "Multiplicity upon restriction to the derived subgroup",
  "authors": [
    "Jeffrey D. Adler",
    "Dipendra Prasad"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We present a conjecture on multiplicity of irreducible representations of a subgroup $H$ contained in the irreducible representations of a group $G$, with $G$ and $H$ having the same derived groups. We point out some consequences of the conjecture, and verification of some of the consequences. We give an explicit example of multiplicity $2$ upon restriction, as well as certain theorems in the context of classical groups where the multiplicity is $1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-10T11:11:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50"
    ],
    "keywords": [
      "multiplicity",
      "derived subgroup",
      "restriction",
      "irreducible representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}