{
  "id": "2103.14509",
  "version": "v1",
  "published": "2021-03-26T15:08:46.000Z",
  "updated": "2021-03-26T15:08:46.000Z",
  "title": "Double Flag Varieties and Representations of Quivers",
  "authors": [
    "Hiroki Homma"
  ],
  "comment": "20 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We gave a classification of P and Q with a finite number of K-orbits of a double flag variety G/P*K/Q for a symmetric pair (G, K) when G=GL_{m+n} and K=GL_{m}*GL_{n}, and a description of K-orbits when the number of K-orbits of G/P*K/Q is finite. We solved the problem by providing a correspondence between the K-orbits and the quiver representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-26T15:08:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M15",
      "16G20",
      "14L30"
    ],
    "keywords": [
      "double flag variety",
      "quiver representations",
      "finite number",
      "symmetric pair",
      "classification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}