{
  "id": "0709.4509",
  "version": "v1",
  "published": "2007-09-27T23:22:32.000Z",
  "updated": "2007-09-27T23:22:32.000Z",
  "title": "A recursion formula for k-Schur functions",
  "authors": [
    "Daniel Bravo",
    "Luc Lapointe"
  ],
  "comment": "18 pages, 3 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "The Bernstein operators allow to build recursively the Schur functions. We present a recursion formula for k-Schur functions at t=1 based on combinatorial operators that generalize the Bernstein operators. The recursion leads immediately to a combinatorial interpretation for the expansion coefficients of k-Schur functions at t=1 in terms of homogeneous symmetric functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-27T23:22:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05"
    ],
    "keywords": [
      "k-schur functions",
      "recursion formula",
      "bernstein operators",
      "homogeneous symmetric functions",
      "expansion coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.4509B"
    }
  }
}