The notion of a
Γ-symmetric space is a generalization of the classical notion of a symmetric
space, where a general finite abelian group Γ replaces the group ℤ2. We
approach the classification of Γ-symmetric space in the case Γ = ℤ2× ℤ2 using
recent results on the classification of complex ℤ2× ℤ2-graded simple Lie
algebras.
Keywords
G-grading on Lie algebras,
G-symmetric spaces,
classification of Z22-symmetric spaces.
Université de Haute Alsace
Faculté des Sciences et Techniques
Laboratoire de Mathématiques et applications
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68093 Mulhouse
France