A Cohomological Characterization of Leibniz Central Extensions of Lie Algebras

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Mainly motivated by Pirashvili's spectral sequences on a Leibniz algebra, a cohomological characterization of Leibniz central extensions of Lie algebras is given based on Corollary 3.3 and Theorem 3.5. In particular, as applications, we obtain the cohomological version of Gao's main Theorem in \cite{Gao2} for Kac-Moody algebras and answer a question in \cite{LH}.
12 pages. Proc. Amer.Math.Soc. (to appear in a simplified version)

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Quantum Algebra, Rings and Algebras, Primary 17A32, 17B56; Secondary 17B65

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http://salesiana.dossiersoluciones.com/handle/123456789/143735

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605399
 http://arxiv.org/abs/math/0605399
 Proc. Amer. Math. Soc. 136 (2), (2008), 437--447
 doi:10.1090/S0002-9939-07-08985-X

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arXiv