{
  "id": "1109.1346",
  "version": "v1",
  "published": "2011-09-07T03:35:51.000Z",
  "updated": "2011-09-07T03:35:51.000Z",
  "title": "Codes and shifted codes",
  "authors": [
    "J. T. Hird",
    "Naihuan Jing",
    "Ernest Stitzinger"
  ],
  "journal": "Int. J. Alg. Comput. 22, No. 06 (2012) 1250054",
  "doi": "10.1142/S0218196712500543",
  "categories": [
    "math.CO"
  ],
  "abstract": "The action of the Bernstein operators on Schur functions was given in terms of codes in [CG] and extended to the analog in Schur Q-functions in [HJS]. We define a new combinatorial model of extended codes and show that both of these results follow from a natural combinatorial relation induced on codes. The new algebraic structure provides a natural setting for Schur functions indexed by compositions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-07T03:35:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05"
    ],
    "keywords": [
      "shifted codes",
      "schur functions",
      "bernstein operators",
      "natural combinatorial relation",
      "algebraic structure"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.1346H"
    }
  }
}