{
  "id": "0802.0417",
  "version": "v2",
  "published": "2008-02-04T14:16:05.000Z",
  "updated": "2008-08-07T13:49:25.000Z",
  "title": "On principal hook length partitions and durfee sizes in skew characters",
  "authors": [
    "Christian Gutschwager"
  ],
  "comment": "13 pages, minor changes from v1 to v2 as suggested by the referee, to appear in Annals. Comb",
  "doi": "10.1007/s00026-011-0084-7",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "In this paper we construct for a given arbitrary skew diagram A all partitions nu with maximal principal hook lengths among all partitions with the character [nu] appearing in the skew character [A]. Furthermore we show that these are also partitions with minimal Durfee size. This we use to give the maximal Durfee size for [nu] appearing in [A] for the cases when A decays into two partitions and for some special cases of A. Also this gives conditions for two skew diagrams to represent the same skew character.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-08-07T13:49:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05",
      "05E10",
      "14M15",
      "20C30"
    ],
    "keywords": [
      "principal hook length partitions",
      "skew character",
      "durfee size",
      "maximal principal hook lengths",
      "arbitrary skew diagram"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.0417G"
    }
  }
}