{
  "id": "1312.2727",
  "version": "v2",
  "published": "2013-12-10T09:40:40.000Z",
  "updated": "2014-07-23T15:13:42.000Z",
  "title": "Quasi-symmetric functions as polynomial functions on Young diagrams",
  "authors": [
    "Jean-Christophe Aval",
    "Valentin Féray",
    "Jean-Christophe Novelli",
    "Jean-Yves Thibon"
  ],
  "comment": "34 pages, 4 figures, version including minor modifications suggested by referees",
  "categories": [
    "math.CO"
  ],
  "abstract": "We determine the most general form of a smooth function on Young diagrams, that is, a polynomial in the interlacing or multirectangular coordinates whose value depends only on the shape of the diagram. We prove that the algebra of such functions is isomorphic to quasi-symmetric functions, and give a noncommutative analog of this result.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-07-23T15:13:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05",
      "05E10"
    ],
    "keywords": [
      "young diagrams",
      "quasi-symmetric functions",
      "polynomial functions",
      "general form",
      "multirectangular coordinates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.2727A"
    }
  }
}