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

摘要

The notion of a Gamma-symmetric space is a generalization of the classical notion of a symmetric space, where a general finite abelian group Gamma replaces the group Z(2). We approach the classification of Gamma-symmetric space in the case Gamma = Z(2) x Z(2) using recent results on the classification of complex Z(2) x Z(2) graded simple Lie algebras.