{
  "id": "math/0203046",
  "version": "v2",
  "published": "2002-03-05T21:29:48.000Z",
  "updated": "2002-03-10T18:01:47.000Z",
  "title": "A q-analog of Schur's Q-functions",
  "authors": [
    "Geanina Tudose",
    "Michael Zabrocki"
  ],
  "comment": "24 pages",
  "categories": [
    "math.CO",
    "math.QA"
  ],
  "abstract": "We present a family of analogs of the Hall-Littlewood symmetric functions in the $Q$-function algebra. The change of basis coefficients between this family and Schur's $Q$-functions are $q$-analogs of numbers of marked shifted tableaux. These coefficients exhibit many parallel properties to the Kostka-Foulkes polynomials.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-03-10T18:01:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05",
      "05E10"
    ],
    "keywords": [
      "schurs q-functions",
      "hall-littlewood symmetric functions",
      "function algebra",
      "basis coefficients",
      "parallel properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......3046T"
    }
  }
}