{
  "id": "math/0312332",
  "version": "v2",
  "published": "2003-12-17T13:37:14.000Z",
  "updated": "2005-05-08T11:14:38.000Z",
  "title": "The combinatorics of orbital varieties closures of nilpotent order 2 in sl(n)",
  "authors": [
    "Anna Melnikov"
  ],
  "comment": "20 pages",
  "journal": "Electronic Journal of Combinatorics, vol. 12(1), 2005, R21",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We consider two partial orders on standard Young tableaux. The first one is induced from the weak right Bruhat order on symmetric group by Robinson-Schensted algorithm. The second one is induced from the order on Young diagrams by considering a Young tableau as a chain of Young diagrams. We show that these two orders of completely different nature coincide on the subset of Young tableaux with 2 columns or with 2 rows. This fact has very interesting geometric implications for orbital varieties of nilpotent order 2 in sl(n).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-05-08T11:14:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E10",
      "17B10"
    ],
    "keywords": [
      "orbital varieties closures",
      "nilpotent order",
      "young diagrams",
      "combinatorics",
      "weak right bruhat order"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12332M"
    }
  }
}