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A cohomological characterization of Leibniz central extensions of Lie algebras
Proceedings of the American Mathematical Society
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 Gao2 for Kac-Moody algebras and answer a question in LH.doi:10.1090/s0002-9939-07-08985-x fatcat:bpnkcxtofjdhpeblebd67b634u