{
  "id": "0910.2036",
  "version": "v2",
  "published": "2009-10-11T19:44:38.000Z",
  "updated": "2011-08-29T14:48:51.000Z",
  "title": "New interpretations for noncrossing partitions of classical types",
  "authors": [
    "Jang Soo Kim"
  ],
  "comment": "21 pages, 15 figures, final version",
  "journal": "J. Combin. Theory Ser. A 118 (2011) 1168-1189",
  "categories": [
    "math.CO"
  ],
  "abstract": "We interpret noncrossing partitions of type $B$ and type $D$ in terms of noncrossing partitions of type $A$. As an application, we get type-preserving bijections between noncrossing and nonnesting partitions of type $B$, type $C$ and type $D$ which are different from those in the recent work of Fink and Giraldo. We also define Catalan tableaux of type $B$ and type $D$, and find bijections between them and noncrossing partitions of type $B$ and type $D$ respectively.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-08-29T14:48:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "05E15"
    ],
    "keywords": [
      "classical types",
      "interpretations",
      "define catalan tableaux",
      "interpret noncrossing partitions",
      "nonnesting partitions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.2036K"
    }
  }
}