{
  "id": "1507.02047",
  "version": "v1",
  "published": "2015-07-08T07:01:06.000Z",
  "updated": "2015-07-08T07:01:06.000Z",
  "title": "A decomposition rule for certain tensor product representations of the symmetric groups",
  "authors": [
    "Takahiro Hayashi"
  ],
  "comment": "25 pages",
  "journal": "Journal of Algebra 434 (2015) 46-64",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "In this paper, we give a combinatorial rule to calculate the decomposition of the tensor product (Kronecker product) of two irreducible complex representations of the symmetric group ${\\mathfrak S}_n$, when one of the representations corresponds to a hook $(n-m, 1^m)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-08T07:01:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E10",
      "20C30"
    ],
    "keywords": [
      "tensor product representations",
      "symmetric group",
      "decomposition rule",
      "representations corresponds",
      "combinatorial rule"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}