{
  "id": "2006.13146",
  "version": "v1",
  "published": "2020-06-23T16:42:53.000Z",
  "updated": "2020-06-23T16:42:53.000Z",
  "title": "Increasing Subsequences and Kronecker Coefficients",
  "authors": [
    "Jonathan Novak",
    "Brendon Rhoades"
  ],
  "comment": "5 pages, for the \"Open Problems in Algebraic Combinatorics\" AMS volume to accompany the OPAC 2021 conference at the University of Minnesota",
  "categories": [
    "math.CO"
  ],
  "abstract": "It has been conjectured by W. Chen that the distribution of the length of the longest increasing subsequence in a uniformly random permutation is log-concave. We propose a stronger version of this conjecture which involves the Kronecker coefficients of the symmetric group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-23T16:42:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kronecker coefficients",
      "uniformly random permutation",
      "longest increasing subsequence",
      "symmetric group",
      "stronger version"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}