{
  "id": "1210.5579",
  "version": "v6",
  "published": "2012-10-20T05:44:28.000Z",
  "updated": "2013-02-25T13:36:19.000Z",
  "title": "The partition algebra and the Kronecker coefficients",
  "authors": [
    "Christopher Bowman",
    "Maud De Visscher",
    "Rosa Orellana"
  ],
  "comment": "This version contains a uniform description of the Kronecker coefficients when one of the indexing partitions is a hook or a two-part partition",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We propose a new approach to study the Kronecker coefficients by using the Schur-Weyl duality between the symmetric group and the partition algebra. We explain the limiting behavior and associated bounds in the context of the partition algebra. Our analysis leads to a uniform description of the Kronecker coefficients when one of the indexing partitions is a hook or a two-part partition.",
  "revisions": [
    {
      "version": "v6",
      "updated": "2013-02-25T13:36:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C30"
    ],
    "keywords": [
      "kronecker coefficients",
      "partition algebra",
      "uniform description",
      "two-part partition",
      "symmetric group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.5579B"
    }
  }
}