{
  "id": "math/9808050",
  "version": "v1",
  "published": "1998-08-11T15:31:03.000Z",
  "updated": "1998-08-11T15:31:03.000Z",
  "title": "Determinantal expressions for Macdonald polynomials",
  "authors": [
    "L. Lapointe",
    "A. Lascoux",
    "J. Morse"
  ],
  "comment": "21 pages, TeX, to be published in IMRN",
  "categories": [
    "math.CO",
    "math.QA"
  ],
  "abstract": "We show that the action of classical operators associated to the Macdonald polynomials on the basis of Schur functions, S_{\\lambda}[X(t-1)/(q-1)], can be reduced to addition in \\lambda-rings. This provides explicit formulas for the Macdonald polynomials expanded in this basis as well as in the ordinary Schur basis, S_{\\lambda}[X], and the monomial basis, m_{\\lambda}[X].",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-08-11T15:31:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05"
    ],
    "keywords": [
      "determinantal expressions",
      "ordinary schur basis",
      "schur functions",
      "monomial basis",
      "explicit formulas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......8050L"
    }
  }
}