{
  "id": "1410.2934",
  "version": "v1",
  "published": "2014-10-11T01:02:06.000Z",
  "updated": "2014-10-11T01:02:06.000Z",
  "title": "Symmetric skew quasisymmetric Schur functions",
  "authors": [
    "Christine Bessenrodt",
    "Vasu V. Tewari",
    "Stephanie J. van Willigenburg"
  ],
  "comment": "25 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "The classical Littlewood-Richardson rule is a rule for computing coefficients in many areas, and comes in many guises. In this paper we prove two Littlewood-Richardson rules for symmetric skew quasisymmetric Schur functions that are analogous to the famed version of the classical Littlewood-Richardson rule involving Yamanouchi words. Furthermore, both our rules contain this classical Littlewood-Richardson rule as a special case. We then apply our rules to combinatorially classify symmetric skew quasisymmetric Schur functions. This answers affirmatively a conjecture of Bessenrodt, Luoto and van Willigenburg.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-11T01:02:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05"
    ],
    "keywords": [
      "symmetric skew quasisymmetric schur functions",
      "classical littlewood-richardson rule",
      "classify symmetric skew quasisymmetric schur",
      "combinatorially classify symmetric skew quasisymmetric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.2934B"
    }
  }
}