Abstract

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.

Mathematical Subject Classification

Primary: 53C30, 53C35

Secondary: 17B40

Authors