{
  "id": "1202.2813",
  "version": "v2",
  "published": "2012-02-13T18:40:30.000Z",
  "updated": "2013-06-26T15:16:21.000Z",
  "title": "Operations on Arc Diagrams and Degenerations for Invariant Subspaces of Linear Operators",
  "authors": [
    "Justyna Kosakowska",
    "Markus Schmidmeier"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We study geometric properties of varieties associated with invariant subspaces of nilpotent operators. There are reductive algebraic groups acting on these varieties. We give dimensions of orbits of these actions. Moreover, a combinatorial characterization of the partial order given by degenerations is described.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-06-26T15:16:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L30",
      "16G20",
      "16G70",
      "47A15"
    ],
    "keywords": [
      "invariant subspaces",
      "linear operators",
      "arc diagrams",
      "degenerations",
      "operations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.2813K"
    }
  }
}