Lie Bialgebras of Generalized Virasoro-like Type 被引量：13

Lie Bialgebras of Generalized Virasoro-like Type

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摘要 In this paper, Lie bialgebra structures on generalized Virasoro-like algebras are studied. It is proved that all such Lie bialgebras are triangular coboundary. In this paper, Lie bialgebra structures on generalized Virasoro-like algebras are studied. It is proved that all such Lie bialgebras are triangular coboundary.

作者 Yue Zhu WU Guang Ai SONG Yu Cai SU

机构地区 Department of Mathematics Department of Mathematics College of Mathematics and Information Science Department of Mathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第6期1915-1922,共8页 数学学报（英文版）

基金 Supported by an NSF Grant 10471096 of China,"One Hundred Talents Program"from University of Science and Technology of China and"Trans-Century Training Programme Foundation for the Talents"from National Education Ministry of China

关键词 Lie bialgebras Yang Baxter equation generalized Virasoro-like algebras Lie bialgebras, Yang Baxter equation, generalized Virasoro-like algebras

分类号 O15 [理学—基础数学]

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参考文献4

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共引文献34

1LI JunBo1, 2 , SU YuCai3 & ZHU LinSheng21 Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, China 2 Department of Mathematics, Changshu Institute of Technology, Changshu 215500, China 3 Department of Mathematics, University of Science and Technology of China, Hefei 230026, China.2-Cocycles of original deformative Schrdinger-Virasoro algebras[J].Science China Mathematics,2008,51(11):1989-1999. 被引量：12
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同被引文献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
3苏育才.Derivations of generalized Weyl algebras[J].Science China Mathematics,2003,46(3):346-354. 被引量：7
4LI JunBo1, 2 , SU YuCai3 & ZHU LinSheng21 Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, China 2 Department of Mathematics, Changshu Institute of Technology, Changshu 215500, China 3 Department of Mathematics, University of Science and Technology of China, Hefei 230026, China.2-Cocycles of original deformative Schrdinger-Virasoro algebras[J].Science China Mathematics,2008,51(11):1989-1999. 被引量：12
5Shang Yuan LIN,Bin XIN.Representations of a Noncommutative Associative Algebra Related to Quantum Torus of Rank Three[J].Acta Mathematica Sinica,English Series,2005,21(6):1521-1524. 被引量：6
6Ran SHEN,Yu Cai SU.Classification of Irreducible Weight Modules with a Finite-dimensional Weight Space over Twisted Heisenberg-Virasoro Algebra[J].Acta Mathematica Sinica,English Series,2007,23(1):189-192. 被引量：11
7Xiao Qing YUE,Yu Cai SU.Highest Weight Representations of a Family of Lie Algebras of Block Type[J].Acta Mathematica Sinica,English Series,2008,24(4):687-696. 被引量：1
8Bin XIN~(1+) Guang-ai SONG~2 Yu-cai SU~3 1 Department of Mathematics,Shanghai Jiao Tong University,Shanghai 200240,China,2 College of Mathematics and Information Science,Shandong Institute of Business and Technology,Yantai 264005,China,3 Department of Mathematics,University of Science and Technology of China,Hefei 230026,China.Hamiltonian type Lie bialgebras[J].Science China Mathematics,2007,50(9):1267-1279. 被引量：8
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引证文献13

1LI JunBo1, 2 , SU YuCai3 & ZHU LinSheng21 Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, China 2 Department of Mathematics, Changshu Institute of Technology, Changshu 215500, China 3 Department of Mathematics, University of Science and Technology of China, Hefei 230026, China.2-Cocycles of original deformative Schrdinger-Virasoro algebras[J].Science China Mathematics,2008,51(11):1989-1999. 被引量：12
2ZHANG LiangYun College of Science,Nanjing Agricultural University,Nanjing 210095,China.Lie comodules and the constructions of Lie bialgebras[J].Science China Mathematics,2008,51(6):1017-1026.
3辛斌,宋光艾,苏育才.广义Hamilton Lie双代数[J].中国科学（A辑）,2007,37(5):617-628. 被引量：1
4Junbo LI,Yucai SU,Bin XIN.Lie Bialgebras of a Family of Lie Algebras of Block Type[J].Chinese Annals of Mathematics,Series B,2008,29(5):487-500.
5李军波,苏育才,朱林生.Schrdinger-Virasoro变形代数的二上循环[J].中国科学（A辑）,2008,38(8):841-850.
6Bin XIN~(1+) Guang-ai SONG~2 Yu-cai SU~3 1 Department of Mathematics,Shanghai Jiao Tong University,Shanghai 200240,China,2 College of Mathematics and Information Science,Shandong Institute of Business and Technology,Yantai 264005,China,3 Department of Mathematics,University of Science and Technology of China,Hefei 230026,China.Hamiltonian type Lie bialgebras[J].Science China Mathematics,2007,50(9):1267-1279. 被引量：8
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8李燕杰,李军波.一类扭Schrdinger-Virasoro代数的双代数结构[J].常熟理工学院学报,2010,24(2):13-18.
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10申冉,陈海波,张建刚.Lie Bialgebra Structures on Generalized Heisenberg-Virasoro Algebra[J].Journal of Donghua University(English Edition),2013,30(2):125-131. 被引量：1

二级引证文献21

1LI JunBo1, 2 , SU YuCai3 & ZHU LinSheng21 Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, China 2 Department of Mathematics, Changshu Institute of Technology, Changshu 215500, China 3 Department of Mathematics, University of Science and Technology of China, Hefei 230026, China.2-Cocycles of original deformative Schrdinger-Virasoro algebras[J].Science China Mathematics,2008,51(11):1989-1999. 被引量：12
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Acta Mathematica Sinica,English Series

2006年第6期

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