{
  "id": "1407.6258",
  "version": "v1",
  "published": "2014-07-23T15:23:20.000Z",
  "updated": "2014-07-23T15:23:20.000Z",
  "title": "Super quasi-symmetric functions via Young diagrams",
  "authors": [
    "Jean-Christophe Aval",
    "Valentin Féray",
    "Jean-Christophe Novelli",
    "Jean-Yves Thibon"
  ],
  "comment": "12 pages, extended abstract of arXiv:1312.2727, presented at FPSAC conference. The presentation of the results is quite different from the long version",
  "journal": "FPSAC 2014, Chicago (USA), DMTCS proc. AT, 2014, 169-180",
  "categories": [
    "math.CO"
  ],
  "abstract": "We consider the multivariate generating series $F_P$ of $P$-partitions in infinitely many variables $x_1, x_2 , \\dots$. For some family of ranked posets $P$, it is natural to consider an analog $N_P$ with two infinite alphabets. When we collapse these two alphabets, we trivially recover $F_P$. Our main result is the converse, that is, the explicit construction of a map sending back $F_P$ onto $N_P$. We also give a noncommutative analog of the latter. An application is the construction of a basis of WQSym with a non-negative multiplication table, which lifts a basis of QSym introduced by K. Luoto.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-23T15:23:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05",
      "05E10"
    ],
    "keywords": [
      "super quasi-symmetric functions",
      "young diagrams",
      "multivariate generating series",
      "explicit construction",
      "main result"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.6258A"
    }
  }
}