Cristina Draper Fontanals
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Homogeneous Einstein manifolds based on symplectic triple systems
cm:9508 -
Communications in Mathematics,
October 11, 2020,
Volume 28 (2020), Issue 2 (Special Issue: 2nd International Workshop on Nonassociative Algebras in Porto)
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https://doi.org/10.2478/cm-2020-0016
Homogeneous Einstein manifolds based on symplectic triple systemsArticle
Authors: Cristina Draper Fontanals
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Cristina Draper Fontanals
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.