{
  "id": "math/0604430",
  "version": "v4",
  "published": "2006-04-19T16:22:14.000Z",
  "updated": "2009-04-02T15:21:50.000Z",
  "title": "A Decomposition of Schur functions and an analogue of the Robinson-Schensted-Knuth Algorithm",
  "authors": [
    "Sarah Mason"
  ],
  "comment": "24 pages; restructured; see journal for comment on connections to Demazure characters",
  "journal": "S\\'eminaire Lotharingien de Combinatoire, 60 (2008), Art. B57e, 24pp",
  "categories": [
    "math.CO"
  ],
  "abstract": "We exhibit a weight-preserving bijection between semi-standard Young tableaux and semi-skyline augmented fillings to provide a combinatorial proof that the Schur functions decompose into nonsymmetric functions indexed by compositions. The insertion procedure involved in the proof leads to an analogue of the Robinson-Schensted-Knuth Algorithm for semi-skyline augmented fillings. This procedure commutes with the RSK algorithm, and therefore retains many of its properties.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2009-04-02T15:21:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05",
      "05E10"
    ],
    "keywords": [
      "robinson-schensted-knuth algorithm",
      "semi-skyline augmented fillings",
      "decomposition",
      "semi-standard young tableaux",
      "schur functions decompose"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......4430M"
    }
  }
}