{
  "id": "1107.0284",
  "version": "v4",
  "published": "2011-07-01T17:42:30.000Z",
  "updated": "2020-10-22T15:25:22.000Z",
  "title": "Closures of K-orbits in the flag variety for GL(2n)",
  "authors": [
    "William M. McGovern"
  ],
  "comment": "5 pages",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We characterize the O_{2n} orbits in the flag variety for GL_{2n} with rationally smooth closure via a graph-theoretic criterion. We also give a necessary pattern avoidance criterion for rational smoothness and conjecture its sufficiency.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-03-14T17:45:43.000Z",
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2020-10-22T15:25:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E47"
    ],
    "keywords": [
      "flag variety",
      "necessary pattern avoidance criterion",
      "rationally smooth closure",
      "graph-theoretic criterion",
      "rational smoothness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.0284M"
    }
  }
}