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与Virasoro代数有关的李代数L的结果
引用本文:陈雪,黄智力.与Virasoro代数有关的李代数L的结果[J].厦门理工学院学报,2014(1):91-96.
作者姓名:陈雪  黄智力
作者单位:[1]厦门理工学院应用数学学院,福建厦门361024 [2]厦门大学信息科学与技术学院,福建厦门361005
基金项目:国家自然科学基金项目(11371024)
摘    要:利用李代数L=m∈Z(CLmCEm)包含无中心的Virasoro代数(Witt代数)作为李代数L的子代数,研究L的导子和中心扩张等问题.结果表明L是一个无限维的Complete李代数并且L的泛中心扩张在Leibniz代数范畴与李代数范畴是相同的.

关 键 词:导子  中心扩张  Leibniz代数

Structures of the Lie Algebra L Related to Virasoro Algebra
CHEN Xue,HUANG Zhi-li.Structures of the Lie Algebra L Related to Virasoro Algebra[J].Journal of Xiamen University of Technology,2014(1):91-96.
Authors:CHEN Xue  HUANG Zhi-li
Institution:1. School of Applied Mathematics, Xiamen University of Engineering, Xiamen 361024, China 2. School of Information Science and Engineering, Xiamen University, Xiamen 361005, China)
Abstract:Derivations and universal central extensions of the Lie algebra L were studied using the Lie algebra where L = +m∈Z(CLm + CEm) which contains the centerless Virasoro algebra (Witt algebra) as a subalgebra. It is proved that L is a complete infinite-dimensional Lie algebra and the universal central extension of L in the category of Leibniz algebras is the same as that in the category of Lie algebras.
Keywords:derivation  central extension  Leibniz algebra
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