{
  "id": "1408.4866",
  "version": "v1",
  "published": "2014-08-21T03:33:12.000Z",
  "updated": "2014-08-21T03:33:12.000Z",
  "title": "Combinatorics of Regular Partitions",
  "authors": [
    "Hiroshi Mizukawa",
    "Hiro-Fumi Yamada"
  ],
  "comment": "11 pages",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "Two partition identities are given, which are concerned with $r$-regular partitions and $r$-class regular partitions. Together with some discussions on the Hall-Littlewood and the Kostka-Foulkes polynomials, these formulas lead to the computation of the $r$-regular character table of the symmetric group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-21T03:33:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "combinatorics",
      "class regular partitions",
      "partition identities",
      "kostka-foulkes polynomials",
      "symmetric group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.4866M"
    }
  }
}