A cohomological characterization of Leibniz central extensions of Lie algebras

Hu, Naihong; Pei, Yufeng; Liu, Dong

doi:10.1090/S0002-9939-07-08985-X

A cohomological characterization of Leibniz central extensions of Lie algebras
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by Naihong Hu, Yufeng Pei and Dong Liu PDF

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

Abstract:

Mainly motivated by Pirashvili’s spectral sequences on a Leibniz algebra, a cohomological characterization of Leibniz central extensions of Lie algebras is given. In particular, as applications, we obtain the cohomological version of Gao’s main theorem for Kac-Moody algebras and answer a question in an earlier paper by Liu and Hu (2004).

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