{
  "id": "2402.12064",
  "version": "v2",
  "published": "2024-02-19T11:31:03.000Z",
  "updated": "2024-11-27T09:25:33.000Z",
  "title": "Multiplicity-free representations of the principal A1-subgroup in a simple algebraic group",
  "authors": [
    "Aluna Rizzoli",
    "Donna Testerman"
  ],
  "comment": "Accepted version, 49 pages",
  "categories": [
    "math.RT",
    "math.GR"
  ],
  "abstract": "Let G be a simple algebraic group defined over an algebraically closed field k of characteristic p>0. Here we classify all irreducible kG-modules for which the principal A1 has no repeated composition factors, extending the work of Liebeck-Seitz-Testerman which treated the same question when k is replaced by an algebraically closed field of characteristic zero.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2024-11-27T09:25:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simple algebraic group",
      "principal a1-subgroup",
      "multiplicity-free representations",
      "algebraically closed field",
      "characteristic zero"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 49,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}