{
  "id": "1306.5085",
  "version": "v2",
  "published": "2013-06-21T09:50:48.000Z",
  "updated": "2013-11-10T04:05:49.000Z",
  "title": "Strict unimodality of q-binomial coefficients",
  "authors": [
    "Igor Pak",
    "Greta Panova"
  ],
  "comment": "4 pages. version 2: minor changes in theorems 1, 6 and lemma 2; details added",
  "journal": "C. R. Acad. Sci. Paris, Ser. I (2013)",
  "doi": "10.1016/j.crma.2013.06.008",
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove strict unimodality of the q-binomial coefficients \\binom{n}{k}_q as polynomials in q. The proof is based on the combinatorics of certain Young tableaux and the semigroup property of Kronecker coefficients of S_n representations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-10T04:05:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "q-binomial coefficients",
      "strict unimodality",
      "young tableaux",
      "semigroup property"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.5085P"
    }
  }
}