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A cohomological characterization of Leibniz central extensions of Lie algebras |
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| Authors: | Naihong Hu Yufeng Pei Dong Liu |
| Affiliation: | Department of Mathematics, East China Normal University, Shanghai 200062, People's Republic of China ; Department of Mathematics, East China Normal University, Shanghai 200062, People's Republic of China ; Department of Mathematics, Huzhou Teachers College, Zhejiang, Huzhou 313000, People's Republic of China |
| 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). |
| Keywords: | Leibniz central extensions Leibniz cohomology invariant symmetric bilinear forms dual space derivations. |
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