| 与Virasoro代数有关的李代数L的结果 |
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| 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, 0(1): 91-96 |
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| 作者姓名： | 陈雪 黄智力 |
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| 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 |
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| 基金项目： | 国家自然科学基金项目（11371024） |
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| 摘 要： | 利用李代数L=m∈Z(CLmCEm)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.
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| 关 键 词： | 导子 中心扩张 Leibniz代数 |
Structures of the Lie Algebra L Related to Virasoro Algebra |
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| CHEN Xue,HUANG Zhi-li. Structures of the Lie Algebra L Related to Virasoro Algebra[J]. Journal of Xiamen University of Technology, 2014, 0(1): 91-96 |
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| Authors: | CHEN Xue HUANG Zhi-li |
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| Affiliation: | 1. School of Applied Mathematics, Xiamen University of Engineering, Xiamen 361024, China 2. School of Information Science and Engineering, Xiamen University, Xiamen 361005, China) |
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| 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. |
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| Keywords: | derivation central extension Leibniz algebra |
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