{
  "id": "0803.1816",
  "version": "v1",
  "published": "2008-03-12T17:07:31.000Z",
  "updated": "2008-03-12T17:07:31.000Z",
  "title": "Superization and (q,t)-specialization in combinatorial Hopf algebras",
  "authors": [
    "Jean-Christophe Novelli",
    "Jean-Yves Thibon"
  ],
  "comment": "30 pages",
  "journal": "Electronic J. Combin. 16 (2) (2009), R21",
  "categories": [
    "math.CO",
    "math.RA"
  ],
  "abstract": "We extend a classical construction on symmetric functions, the superization process, to several combinatorial Hopf algebras, and obtain analogs of the hook-content formula for the (q,t)-specializations of various bases. Exploiting the dendriform structures yields in particular (q,t)-analogs of the Bjorner-Wachs q-hook-length formulas for binary trees, and similar formulas for plane trees.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-12T17:07:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05",
      "16W30"
    ],
    "keywords": [
      "combinatorial hopf algebras",
      "bjorner-wachs q-hook-length formulas",
      "dendriform structures yields",
      "symmetric functions",
      "plane trees"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.1816N"
    }
  }
}