{
  "id": "math/0602068",
  "version": "v2",
  "published": "2006-02-04T03:54:28.000Z",
  "updated": "2006-06-12T11:34:56.000Z",
  "title": "On refined enumerations of totally symmetric self-complementary plane partitions I",
  "authors": [
    "Masao Ishikawa"
  ],
  "comment": "39 pages, 2 figures",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "In this paper we give Pfaffian expressions and constant term identities for the enumeration problems presented by Mills, Robbins and Rumsey (``Self-complementary totally symmetric plane partitions'' J. Combin. Theory Ser. A, 42, 277--292), concerning the totally symmetric self-complementary plane partitions (TSSCPPs). We also present some new conjectures and give Pfaffian expressions for them.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-06-12T11:34:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "05A17",
      "05E05",
      "05E10"
    ],
    "keywords": [
      "totally symmetric self-complementary plane partitions",
      "refined enumerations",
      "pfaffian expressions",
      "self-complementary totally symmetric plane partitions",
      "constant term identities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......2068I"
    }
  }
}