{
  "id": "0804.0944",
  "version": "v1",
  "published": "2008-04-07T01:10:12.000Z",
  "updated": "2008-04-07T01:10:12.000Z",
  "title": "A non-commutative generalization of $k$-Schur functions",
  "authors": [
    "N. Bergeron",
    "F. Descouens",
    "M. Zabrocki"
  ],
  "journal": "Discrete Math. 309 (2009), no. 16, 5092-5105",
  "categories": [
    "math.CO"
  ],
  "abstract": "We introduce non-commutative analogues of $k$-Schur functions of Lapointe-Lascoux and Morse. We give an explicit formulas for the expansions of non-commutive functions with one and two parameters in terms of these new functions. These results are similar to the conjectures existing in the commutative case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-07T01:10:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16W30",
      "05E05"
    ],
    "keywords": [
      "schur functions",
      "non-commutative generalization",
      "explicit formulas",
      "non-commutive functions",
      "non-commutative analogues"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0804.0944B"
    }
  }
}