{
  "id": "1603.03259",
  "version": "v1",
  "published": "2016-03-10T13:37:36.000Z",
  "updated": "2016-03-10T13:37:36.000Z",
  "title": "Hopf algebra structure of generalized quasi-symmetric functions in partially commutative variables",
  "authors": [
    "Adam Doliwa"
  ],
  "comment": "15 pages, 8 figures",
  "categories": [
    "math.CO",
    "math-ph",
    "math.MP",
    "math.RA",
    "nlin.SI"
  ],
  "abstract": "We introduce a generalization of the Hopf algebra of quasi-symmetric functions in terms of power series in partially commutative variables. This is the graded dual of the Hopf algebra of coloured non-commutative symmetric functions described as a subalgebra of the Hopf algebra of rooted ordered coloured trees. In the Appendix we discuss the role of partial commutativity in derivation of Weyl commutation relations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-10T13:37:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05",
      "16T05",
      "05C25",
      "16U80"
    ],
    "keywords": [
      "partially commutative variables",
      "hopf algebra structure",
      "generalized quasi-symmetric functions",
      "weyl commutation relations",
      "coloured non-commutative symmetric functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160303259D"
    }
  }
}