{
  "id": "0710.2454",
  "version": "v4",
  "published": "2007-10-12T13:34:22.000Z",
  "updated": "2008-01-27T23:27:31.000Z",
  "title": "Two positivity conjectures for Kerov polynomials",
  "authors": [
    "Michel Lassalle"
  ],
  "comment": "15 pages, LaTeX, final version, to appear in Adv. Appl. Math",
  "journal": "Advances in Applied Mathematics, 41 (2008), 407-422",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "Kerov polynomials express the normalized characters of irreducible representations of the symmetric group, evaluated on a cycle, as polynomials in the free cumulants of the associated Young diagram. We present two positivity conjectures for their coefficients. The latter are stronger than the positivity conjecture of Kerov-Biane, recently proved by Feray.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2008-01-27T23:27:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positivity conjecture",
      "kerov polynomials express",
      "symmetric group",
      "free cumulants",
      "associated young diagram"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.2454L"
    }
  }
}