{
  "id": "math/0502446",
  "version": "v3",
  "published": "2005-02-21T21:19:56.000Z",
  "updated": "2005-12-09T23:30:11.000Z",
  "title": "Schur positivity and Schur log-concavity",
  "authors": [
    "Thomas Lam",
    "Alexander Postnikov",
    "Pavlo Pylyavskyy"
  ],
  "comment": "9 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove Okounkov's conjecture, a conjecture of Fomin-Fulton-Li-Poon, and a special case of Lascoux-Leclerc-Thibon's conjecture on Schur positivity and give several more general statements using a recent result of Rhoades and Skandera. An alternative proof of this result is provided. We also give an intriguing log-concavity property of Schur functions.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-12-09T23:30:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05"
    ],
    "keywords": [
      "schur positivity",
      "schur log-concavity",
      "special case",
      "okounkovs conjecture",
      "schur functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......2446L"
    }
  }
}