A Cohomological Characterization of Leibniz Central Extensions of Lie Algebras

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dc.creatorHu, Naihong
dc.creatorPei, Yufeng
dc.creatorLiu, Dong
dc.date2006-05-15
dc.date2006-10-28
dc.date.accessioned2026-07-07T08:47:49Z
dc.date.available2026-07-07T08:47:49Z
dc.descriptionMainly 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}.
dc.description12 pages. Proc. Amer.Math.Soc. (to appear in a simplified version)
dc.identifierhttps://arxiv.org/abs/math/0605399
dc.identifierhttp://arxiv.org/abs/math/0605399
dc.identifierProc. Amer. Math. Soc. 136 (2), (2008), 437--447
dc.identifierdoi:10.1090/S0002-9939-07-08985-X
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143735
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subjectPrimary 17A32, 17B56; Secondary 17B65
dc.titleA Cohomological Characterization of Leibniz Central Extensions of Lie Algebras
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