{
  "id": "1005.2346",
  "version": "v2",
  "published": "2010-05-13T15:26:08.000Z",
  "updated": "2013-07-29T13:39:47.000Z",
  "title": "Class expansion of some symmetric functions in Jucys-Murphy elements",
  "authors": [
    "Michel Lassalle"
  ],
  "comment": "53 pages, LaTeX, to appear in Journal of Algebra",
  "journal": "Journal of Algebra, 394 (2013), 397-443",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We present a method to compute the class expansion of a symmetric function in the Jucys-Murphy elements of the symmetric group. We apply this method to one-row Hall-Littlewood symmetric functions, which interpolate between power sums and complete symmetric functions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-07-29T13:39:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "jucys-murphy elements",
      "class expansion",
      "one-row hall-littlewood symmetric functions",
      "complete symmetric functions",
      "symmetric group"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 53,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.2346L"
    }
  }
}