{
  "id": "1105.3170",
  "version": "v2",
  "published": "2011-05-16T18:39:04.000Z",
  "updated": "2013-04-12T17:55:03.000Z",
  "title": "On (almost) extreme components in Kronecker products of characters of the symmetric groups",
  "authors": [
    "Christine Bessenrodt",
    "Stephanie van Willigenburg"
  ],
  "comment": "38 pages, new theorems added, and paper now focused on maximal and almost maximal components in Kronecker products",
  "journal": "Journal of Algebra 410 (2014) 460-500",
  "doi": "10.1016/j.jalgebra.2014.01.035",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "Using a recursion formula due to Dvir, we obtain information on maximal and almost maximal components in Kronecker products of characters of the symmetric groups. This is applied to confirm a conjecture made by Bessenrodt and Kleshchev in 1999, which classifies all such Kronecker products with only three or four components.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-04-12T17:55:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05",
      "05E10",
      "20C30"
    ],
    "keywords": [
      "kronecker products",
      "symmetric groups",
      "extreme components",
      "characters",
      "maximal components"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.3170B"
    }
  }
}