A new family of homogeneous Einstein manifolds based on symplectic triple systems

Abstract

For each simple symplectic triple system over the real numbers, the standard enveloping Lie algebra and the algebra of inner derivations of the triple provide a reductive pair related to a semi-Riemannian homogeneous manifold. It is proved that this is an Einstein manifold.

Second International Workshop on Nonassociative algebras held in Porto, May 2019. 14 pages