{
  "id": "1904.01332",
  "version": "v1",
  "published": "2019-04-02T10:53:05.000Z",
  "updated": "2019-04-02T10:53:05.000Z",
  "title": "Endomorphism algebras of 2-row permutation modules over characteristic 3",
  "authors": [
    "Jasdeep Kochhar"
  ],
  "comment": "23 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Given $r \\in \\mathbf{N},$ let $\\lambda$ be a partition of $r$ with at most two parts. Let $\\mathbf{F}$ be a field of characteristic 3. Write $M^\\lambda$ for the $\\mathbf{F}S_r$-permutation module corresponding to the action of the symmetric group $S_r$ on the cosets of the maximal Young subgroup $S_\\lambda.$ We construct a full set of central primitive idempotents in $\\text{End}_{\\mathbf{F} S_r}(M^\\lambda)$ in this case. We also determine the Young module corresponding to each primitive idempotent that we construct.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-02T10:53:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C20",
      "20C32"
    ],
    "keywords": [
      "endomorphism algebras",
      "characteristic",
      "maximal young subgroup",
      "young module",
      "symmetric group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}