{
  "id": "1903.07229",
  "version": "v1",
  "published": "2019-03-18T02:08:07.000Z",
  "updated": "2019-03-18T02:08:07.000Z",
  "title": "Sects and lattice paths over the Lagrangian Grassmannian",
  "authors": [
    "Aram Bingham",
    "Ozlem Ugurlu"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We examine Borel subgroup orbits in the classical symmetric space of type CI, which are parametrized by skew symmetric (n, n)-clans. We describe bijections between such clans, certain weighted lattice paths, and pattern-avoiding signed involutions, and we give a cell decomposition of the symmetric space in terms of collections of clans called sects. The largest sect with a conjectural closure order is isomorphic (as a poset) to the Bruhat order on partial involutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-18T02:08:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "14M15",
      "14M17"
    ],
    "keywords": [
      "lattice paths",
      "lagrangian grassmannian",
      "conjectural closure order",
      "borel subgroup orbits",
      "bruhat order"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}