Proceedings of the American Mathematical Society

Author(s): Naihong Hu; Yufeng Pei; Dong Liu
Journal: Proc. Amer. Math. Soc. 136 (2008), 437-447.
MSC (2000): Primary 17A32, 17B56; Secondary 17B65
Posted: October 24, 2007
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 17A32, 17B56, 17B65

Naihong Hu
Affiliation: Department of Mathematics, East China Normal University, Shanghai 200062, People's Republic of China
Email: nhhu@euler.math.ecnu.edu.cn

Yufeng Pei
Affiliation: Department of Mathematics, East China Normal University, Shanghai 200062, People's Republic of China
Email: peiyufeng@gmail.com

Dong Liu
Affiliation: Department of Mathematics, Huzhou Teachers College, Zhejiang, Huzhou 313000, People's Republic of China
Email: liudong@hytc.zj.cn

DOI: 10.1090/S0002-9939-07-08985-X
PII: S 0002-9939(07)08985-X
Keywords: Leibniz central extensions, Leibniz cohomology, invariant symmetric bilinear forms, dual space derivations.
Received by editor(s): May 17, 2006
Received by editor(s) in revised form: October 28, 2006
Posted: October 24, 2007
Additional Notes: This work is supported in part by the NNSF (Grants 10431040, 10671027, 10701019), the TRAPOYT and the FUDP from the MOE of China, and the SRSTP from the STCSM
Communicated by: Dan M. Barbasch
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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