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Witt型与Virasoro型Lie双代数的对偶 被引量：1

Dual Lie bialgebras of Witt and Virasoro types
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摘要 本文给出单边的Witt型、Witt型和Virasoro型Lie双代数的对偶Lie双代数结构.由此,本文得到一系列无限维Lie代数. Structures of dual Lie bialgebras on the one sided Witt algebra, the Witt algebra and the Virasoro algebra are investigated. As a result, we obtain some infinite-dimensional Lie algebras.
作者 宋光艾 苏育才
机构地区 山东工商学院数学与信息科学学院 同济大学数学系
出处 《中国科学：数学》 CSCD 北大核心 2013年第11期1093-1102,共10页 Scientia Sinica：Mathematica
基金 国家自然科学基金(批准号:11071147和11371278) 山东自然科学基金(批准号:ZR2010AM003) 上海市科委基金(批准号:12XD1405000) 中央高校基本科研业务费专项基金资助项目
关键词 VIRASORO代数 Witt型Lie代数 Lie双代数的对偶 Virasoro algebra, Lie algebras of Witt type, dual Lie bialgebra
分类号 O152.5 [理学—基础数学]
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参考文献22

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二级参考文献14

  • 1SONG Guang’ai & SU Yucai College of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, China,Department of Mathematics, University of Science and Technology of China, Hefei 230026, China,Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China.Lie bialgebras of generalized Witt type[J].Science China Mathematics,2006,49(4):533-544. 被引量：22
  • 2SU Yucai & XU XiaopingDepartment of Mathematics, Shanghai Jiaotong University, Shanghai 200030, China,Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China.Central simple Poisson algebras[J].Science China Mathematics,2004,47(2):245-263. 被引量：5
  • 3Yue Zhu WU,Guang Ai SONG,Yu Cai SU.Lie Bialgebras of Generalized Virasoro-like Type[J].Acta Mathematica Sinica,English Series,2006,22(6):1915-1922. 被引量：13
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  • 5Ng S H, Taft E J. Classification of the Lie bialgebra structures on the Witt and Virasoro algebras. J Pure Appl Algebra, 2000, 151:67-88.
  • 6Nichols W D. The structure of the dual Lie coalgebra of the Witt algebra. J Pure Appl Algebra, 1990, 68:359-364.
  • 7Taft E J. Witt and Virasoro algebras as Lie bialgebras. J Pure Appl Algebra, 1993, 87:301-312.
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  • 10Su Yucai, Xu Xiaoping, Zhang Hechun. Derivation-simple algebras and the structures of Lie algebras of Witt type. J Algebra, 2000, 233:642-662.

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中国科学：数学
2013年 第11期

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