{
  "id": "1510.01900",
  "version": "v1",
  "published": "2015-10-07T11:25:14.000Z",
  "updated": "2015-10-07T11:25:14.000Z",
  "title": "The Bruhat order on clans",
  "authors": [
    "Benjamin J. Wyser"
  ],
  "comment": "21 pages, 2 figures. Comments, questions, corrections welcome. arXiv admin note: substantial text overlap with arXiv:1301.1713",
  "categories": [
    "math.CO",
    "math.AG"
  ],
  "abstract": "We give an explicit description of the closure containment order (or \"Bruhat order\") on the set of orbits of GL_p \\times GL_q on the flag variety GL_{p+q}/B, relative to the parametrization of the orbits by combinatorial objects called \"clans\". This leads to a corresponding description of the closures of such orbits as sets of flags satisfying certain incidence conditions encoded by the parametrizing clans.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-07T11:25:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bruhat order",
      "closure containment order",
      "explicit description",
      "flag variety",
      "combinatorial objects"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}