Exceptional (Z/2Z) x (Z/2Z)-symmetric spaces
Differential Geometry
2011-01-12 v1 Rings and Algebras
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).
Keywords
Cite
@article{arxiv.0808.0306,
title = {Exceptional (Z/2Z) x (Z/2Z)-symmetric spaces},
author = {Andreas Kollross},
journal= {arXiv preprint arXiv:0808.0306},
year = {2011}
}
Comments
13 pages