{
  "id": "0806.1776",
  "version": "v1",
  "published": "2008-06-11T01:38:50.000Z",
  "updated": "2008-06-11T01:38:50.000Z",
  "title": "A non-crossing standard monomial theory",
  "authors": [
    "T. Kyle Petersen",
    "Pavlo Pylyavskyy",
    "David E Speyer"
  ],
  "comment": "23 pages, 7 figures",
  "categories": [
    "math.CO",
    "math.AC"
  ],
  "abstract": "The second author has introduced non-crossing tableaux, objects whose non-nesting analogues are semi-standard Young tableaux. We relate non-crossing tableaux to Gelfand-Tsetlin patterns and develop the non-crossing analogue of standard monomial theory. Leclerc and Zelevinsky's weakly separated sets are special cases of non-crossing tableaux, and we suggest that non-crossing tableaux may help illuminate the theory of weakly separated sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-06-11T01:38:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-crossing standard monomial theory",
      "semi-standard young tableaux",
      "second author",
      "special cases",
      "zelevinskys weakly separated sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0806.1776P"
    }
  }
}