{
  "id": "0808.0306",
  "version": "v1",
  "published": "2008-08-03T09:19:14.000Z",
  "updated": "2008-08-03T09:19:14.000Z",
  "title": "Exceptional (Z/2Z) x (Z/2Z)-symmetric spaces",
  "authors": [
    "Andreas Kollross"
  ],
  "comment": "13 pages",
  "journal": "Pacific J. Math. 242 (2009), no. 1, 113--130",
  "doi": "10.2140/pjm.2009.242.113",
  "categories": [
    "math.DG",
    "math.RA"
  ],
  "abstract": "The notion of (Z/2Z) x (Z/2Z)-symmetric spaces is a generalization of classical symmetric spaces, where the group Z/2Z is replaced by (Z/2Z) x (Z/2Z). In this article, a classification is given of the (Z/2Z) x (Z/2Z)-symmetric spaces G/K where G is an exceptional compact Lie group or Spin(8), complementing recent results of Bahturin and Goze. Our results are equivalent to a classification of (Z/2Z) x (Z/2Z)-gradings on the exceptional simple Lie algebras e6, e7, e8, f4, g2 and so(8).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-08-03T09:19:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C30",
      "53C35",
      "17B40"
    ],
    "keywords": [
      "exceptional simple lie algebras e6",
      "exceptional compact lie group",
      "classical symmetric spaces",
      "group z/2z",
      "classification"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0808.0306K"
    }
  }
}