{
  "id": "2410.07179",
  "version": "v1",
  "published": "2024-09-09T11:59:47.000Z",
  "updated": "2024-09-09T11:59:47.000Z",
  "title": "Multiplicity-free tensor products of irreducible modules over simple algebraic groups in positive characteristic",
  "authors": [
    "Gaëtan Mancini"
  ],
  "comment": "Master's thesis",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $k$ be an algebraically closed field of characteristic $p>0$. In this master thesis, we classify multiplicity-free tensor products of simple modules for the groups $SL_2(k)$ and $SL_3(k)$. We also provide a classification for $SL_n(k)$ when $p=2$ and give partial results in the case of $Sp_4(k)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-09T11:59:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simple algebraic groups",
      "positive characteristic",
      "irreducible modules",
      "classify multiplicity-free tensor products",
      "master thesis"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}