{
  "id": "1803.06251",
  "version": "v1",
  "published": "2018-03-16T14:39:32.000Z",
  "updated": "2018-03-16T14:39:32.000Z",
  "title": "Tropical integrable systems and Young tableaux: Shape equivalence and Littlewood-Richardson correspondence",
  "authors": [
    "Shinsuke Iwao"
  ],
  "comment": "19 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We present a new characterization of the shape equivalent class and the Littlewood-Richardson correspondence of Young tableaux in terms of tropical (ultradiscrete) integrable systems. As an application, an alternative proof of the \"shape change theorem\" is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-16T14:39:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12K10",
      "05A05",
      "05A17"
    ],
    "keywords": [
      "young tableaux",
      "tropical integrable systems",
      "littlewood-richardson correspondence",
      "shape equivalence",
      "shape change theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}