{
  "id": "1804.04693",
  "version": "v1",
  "published": "2018-04-12T19:05:18.000Z",
  "updated": "2018-04-12T19:05:18.000Z",
  "title": "On the largest Kronecker and Littlewood--Richardson coefficients",
  "authors": [
    "Igor Pak",
    "Greta Panova",
    "Damir Yeliussizov"
  ],
  "comment": "25 pages",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "We give new bounds and asymptotic estimates for Kronecker and Littlewood--Richardson coefficients. Notably, we resolve Stanley's questions on the shape of partitions attaining the largest Kronecker and Littlewood--Richardson coefficients. We apply the results to asymptotics of the number of standard Young tableaux of skew shapes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-12T19:05:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "littlewood-richardson coefficients",
      "largest kronecker",
      "standard young tableaux",
      "resolve stanleys questions",
      "asymptotic estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}