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arXiv:0808.0306 [math.DG]AbstractReferencesReviewsResources

Exceptional (Z/2Z) x (Z/2Z)-symmetric spaces

Andreas Kollross

Published 2008-08-03Version 1

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).

Comments: 13 pages
Journal: Pacific J. Math. 242 (2009), no. 1, 113--130
Categories: math.DG, math.RA
Subjects: 53C30, 53C35, 17B40
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