{
  "id": "1708.06341",
  "version": "v1",
  "published": "2017-08-21T17:57:39.000Z",
  "updated": "2017-08-21T17:57:39.000Z",
  "title": "Finite type multiple flag varieties of exceptional groups",
  "authors": [
    "Dan Barbasch",
    "Sergio Da Silva",
    "Balázs Elek",
    "Gautam Gopal Krishnan"
  ],
  "comment": "11 pages, Sage code included in ancillary file",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "Consider a simple complex Lie group $G$ acting diagonally on a triple flag variety $G/P_1\\times G/P_2\\times G/P_3$, where $P_i$ is parabolic subgroup of $G$. We provide an algorithm for systematically checking when this action has finitely many orbits. We then use this method to give a complete classification for when $G$ is of type $F_4$. The $E_6, E_7,$ and $E_8$ cases will be treated in a subsequent paper.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-21T17:57:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E46",
      "22E47",
      "14M15",
      "11S90"
    ],
    "keywords": [
      "finite type multiple flag varieties",
      "exceptional groups",
      "simple complex lie group",
      "triple flag variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}