A Cohomological Characterization of Leibniz Central Extensions of Lie Algebras

Details A Cohomological Characterization of Leibniz Central Extensions of Lie Algebras A Cohomological Characterization of Leibniz Central Extensions of Lie Algebras

2006-05-15

arxiv.org/abs/math/0605399v5

Proc. Amer. Math. Soc. 136 (2), (2008), 437--447

Mathematics

Quantum Algebra

12 pages. Proc. Amer.Math.Soc. (to appear in a simplified version)

Scientific paper

10.1090/S0002-9939-07-08985-X

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}.

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