{
  "id": "1205.6006",
  "version": "v3",
  "published": "2012-05-27T21:28:18.000Z",
  "updated": "2013-04-08T20:39:21.000Z",
  "title": "Young tableaux, canonical bases and the Gindikin-Karpelevich formula",
  "authors": [
    "Kyu-Hwan Lee",
    "Ben Salisbury"
  ],
  "comment": "19 pages",
  "journal": "J. Korean Math. Soc. 51 (2014), No. 2, pp. 289-309",
  "doi": "10.4134/JKMS.2014.51.2.289",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "A combinatorial description of the crystal B(infinity) for finite-dimensional simple Lie algebras in terms of certain Young tableaux was developed by J. Hong and H. Lee. We establish an explicit bijection between these Young tableaux and canonical bases indexed by Lusztig's parametrization, and obtain a combinatorial rule for expressing the Gindikin-Karpelevich formula as a sum over the set of Young tableaux.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-04-08T20:39:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B37",
      "05E10"
    ],
    "keywords": [
      "young tableaux",
      "gindikin-karpelevich formula",
      "canonical bases",
      "finite-dimensional simple lie algebras",
      "combinatorial description"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.6006L"
    }
  }
}