{
  "id": "1110.3209",
  "version": "v1",
  "published": "2011-10-14T13:43:24.000Z",
  "updated": "2011-10-14T13:43:24.000Z",
  "title": "Noncommutative symmetric functions with matrix parameters",
  "authors": [
    "Alain Lascoux",
    "Jean-Christophe Novelli",
    "Jean-Yves Thibon"
  ],
  "comment": "21 pages",
  "journal": "J. Algebraic Combin. 2012",
  "doi": "10.1007/s10801-012-0378-9",
  "categories": [
    "math.CO"
  ],
  "abstract": "We define new families of noncommutative symmetric functions and quasi-symmetric functions depending on two matrices of parameters, and more generally on parameters associated with paths in a binary tree. Appropriate specializations of both matrices then give back the two-vector families of Hivert, Lascoux, and Thibon and the noncommutative Macdonald functions of Bergeron and Zabrocki.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-14T13:43:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "noncommutative symmetric functions",
      "matrix parameters",
      "binary tree",
      "appropriate specializations",
      "two-vector families"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.3209L"
    }
  }
}