{
  "id": "math/0506287",
  "version": "v3",
  "published": "2005-06-15T07:57:24.000Z",
  "updated": "2006-10-10T08:54:45.000Z",
  "title": "Galleries, Hall-Littlewood polynomials and structure constants of the spherical Hecke algebra",
  "authors": [
    "Christoph Schwer"
  ],
  "comment": "28 pages, v3: revised version, to appear in IMRN",
  "journal": "IMRN, Volume 2006 (2006)",
  "doi": "10.1155/IMRN/2006/75395",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "We provide a combinatorial description of the coefficients appearing in the expansion of Hall-Littlewood polynomials in terms of monomial symmetric functions. We also give a Littlewood-Richardson rule for Hall-Littlewood polynomials. For proving this we use galleries to calculate Satake coefficients and structure constants of spherical Hecke algebras with arbitrary parameters.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-10-10T08:54:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05",
      "33D52"
    ],
    "keywords": [
      "spherical hecke algebra",
      "hall-littlewood polynomials",
      "structure constants",
      "monomial symmetric functions",
      "combinatorial description"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......6287S"
    }
  }
}