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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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).
References
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Additional Information
  • Naihong Hu
  • Affiliation: Department of Mathematics, East China Normal University, Shanghai 200062, People’s Republic of China
  • MR Author ID: 351882
  • 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
  • Received by editor(s): May 17, 2006
  • Received by editor(s) in revised form: October 28, 2006
  • Published electronically: 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 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 437-447
  • MSC (2000): Primary 17A32, 17B56; Secondary 17B65
  • DOI: https://doi.org/10.1090/S0002-9939-07-08985-X
  • MathSciNet review: 2358481