{
  "id": "0902.2099",
  "version": "v2",
  "published": "2009-02-12T12:53:15.000Z",
  "updated": "2009-10-10T22:43:54.000Z",
  "title": "Recurrence formulas for Macdonald polynomials of type A",
  "authors": [
    "Michel Lassalle",
    "Michael J. Schlosser"
  ],
  "comment": "18 pages, LaTeX, revised version, to appear in Journal of Algebraic Combinatorics",
  "journal": "Journal of Algebraic Combinatorics, 32 (2010), 113-131",
  "doi": "10.1007/s10801-009-0207-y",
  "categories": [
    "math.CO",
    "math.QA"
  ],
  "abstract": "We consider products of two Macdonald polynomials of type A, indexed by dominant weights which are respectively a multiple of the first fundamental weight and a weight having zero component on the k-th fundamental weight. We give the explicit decomposition of any Macdonald polynomial of type A in terms of this basis.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-10-10T22:43:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "macdonald polynomial",
      "recurrence formulas",
      "first fundamental weight",
      "k-th fundamental weight",
      "dominant weights"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.2099L"
    }
  }
}