{
  "id": "1411.2302",
  "version": "v1",
  "published": "2014-11-10T00:09:54.000Z",
  "updated": "2014-11-10T00:09:54.000Z",
  "title": "The Orbits of the Symplectic Group on the Flag Manifold",
  "authors": [
    "Anna Bertiger"
  ],
  "comment": "12 pages, 13 figures",
  "categories": [
    "math.AG"
  ],
  "abstract": "We examine the orbits of the (complex) symplectic group, $Sp_n$, on the flag manifold, $\\mathscr{F}\\ell(\\mathbb{C}^{2n})$, in a very concrete way. We use two approaches: we Gr\\\"obner degenerate the orbits to unions of Schubert varieties (for a equations of a particular union of Schubert varieties see \\cite{NWunions}) and we find a subset $\\mathcal{A}$ of the orbit closures containing the basic elements of the poset of orbit closures under containment, which represent the geometric and combinatorial building blocks for the orbit closures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-10T00:09:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "06A11",
      "05E40",
      "14Q99"
    ],
    "keywords": [
      "flag manifold",
      "symplectic group",
      "schubert varieties",
      "combinatorial building blocks",
      "basic elements"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.2302B"
    }
  }
}