{
  "id": "0907.4880",
  "version": "v2",
  "published": "2009-07-28T10:20:52.000Z",
  "updated": "2009-10-07T06:20:16.000Z",
  "title": "An involution for symmetry of hook length and part length of partitions",
  "authors": [
    "Heesung Shin",
    "Jiang Zeng"
  ],
  "comment": "9 pages, 7 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "A {\\em pointed partition} of $n$ is a pair $(\\lambda, v)$ where $\\lambda\\vdash n$ and $v$ is a cell in its Ferrers diagram. We construct an involution on pointed partitions of $n$ exchanging \"hook length\" and \"part length\". This gives a bijective proof of a recent result of Bessenrodt and Han.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-10-07T06:20:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hook length",
      "part length",
      "involution",
      "pointed partition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.4880S"
    }
  }
}