Homogeneous Einstein manifolds based on symplectic triple systems - Archive ouverte HAL
Article Dans Une Revue Communications in Mathematics Année : 2020

Homogeneous Einstein manifolds based on symplectic triple systems

Cristina Draper Fontanals
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Résumé

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.
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hal-03664990 , version 1 (11-05-2022)

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Cristina Draper Fontanals. Homogeneous Einstein manifolds based on symplectic triple systems. Communications in Mathematics, 2020, Volume 28 (2020), Issue 2 (Special Issue: 2nd International Workshop on Nonassociative Algebras in Porto) (2), pp.139 - 154. ⟨10.2478/cm-2020-0016⟩. ⟨hal-03664990⟩
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