{
  "id": "1110.4014",
  "version": "v1",
  "published": "2011-10-18T15:07:06.000Z",
  "updated": "2011-10-18T15:07:06.000Z",
  "title": "Row-strict quasisymmetric Schur functions",
  "authors": [
    "Sarah Mason",
    "Jeffrey Remmel"
  ],
  "comment": "17 pages, 11 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "Haglund, Luoto, Mason, and van Willigenburg introduced a basis for quasisymmetric functions called the quasisymmetric Schur function basis, generated combinatorially through fillings of composition diagrams in much the same way as Schur functions are generated through reverse column-strict tableaux. We introduce a new basis for quasisymmetric functions called the row-strict quasisymmetric Schur function basis, generated combinatorially through fillings of composition diagrams in much the same way as Schur functions are generated through row-strict tableaux. We describe the relationship between this new basis and other known bases for quasisymmetric functions, as well as its relationship to Schur polynomials. We obtain a refinement of the omega transform operator as a result of these relationships.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-18T15:07:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05"
    ],
    "keywords": [
      "quasisymmetric functions",
      "row-strict quasisymmetric schur function basis",
      "composition diagrams",
      "reverse column-strict tableaux",
      "relationship"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.4014M"
    }
  }
}