{
  "id": "math/0411387",
  "version": "v1",
  "published": "2004-11-17T17:30:08.000Z",
  "updated": "2004-11-17T17:30:08.000Z",
  "title": "Parking Functions and Descent Algebras",
  "authors": [
    "Jean-Christophe Novelli",
    "Jean-Yves Thibon"
  ],
  "comment": "8 pages, LaTex",
  "journal": "Annals of Combinatorics 11 (2007), 59-68",
  "categories": [
    "math.CO",
    "math.GR"
  ],
  "abstract": "We show that the notion of parkization of a word, a variant of the classical standardization, allows to introduce an internal product on the Hopf algebra of parking functions. Its Catalan subalgebra is stable under this operation and contains the descent algebra as a left ideal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-11-17T17:30:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "descent algebra",
      "parking functions",
      "internal product",
      "hopf algebra",
      "catalan subalgebra"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....11387N"
    }
  }
}