Lie Bialgebras of a Family of Lie Algebras of Block Type
Lie Bialgebras of a Family of Lie Algebras of Block Type
摘要
Lie bialgebra structures on a family of Lie algebras of Block type are shown to be triangular coboundary.
基金
the National Natural Science Foundation of China (Nos. 10471091, 10671027)
the One Hundred Talents Program from University of Science and Technology of China
参考文献2
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1Yue 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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2SONG 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
二级参考文献15
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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
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共引文献22
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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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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.
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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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4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
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5Xiao 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
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6程永胜,张明亮.Block型李代数的系数在其模上的一阶上同调群[J].河南大学学报（自然科学版）,2008,38(2):111-115. 被引量：3
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7张良云.Lie余模和Lie双代数的构造[J].中国科学（A辑）,2008,38(3):249-259. 被引量：1
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8李军波,苏育才,朱林生.Schrdinger-Virasoro变形代数的二上循环[J].中国科学（A辑）,2008,38(8):841-850.
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9Bin 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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10李军波,法焕霞.一类单完备李代数[J].数学年刊（A辑）,2009,30(3):401-410.
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1程永胜,苏育才.QUANTIZATION OF LIE ALGEBRAS OF BLOCK TYPE[J].Acta Mathematica Scientia,2010,30(4):1134-1142.
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2白瑞蒲,程宇,李佳倩,孟伟.3-LIE BIALGEBRAS[J].Acta Mathematica Scientia,2014,34(2):513-522.
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3Xiao 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
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4Henan WU,Song WANG,Xiaoqing YUE.Lie Bialgebras of Generalized Loop Virasoro Algebras[J].Chinese Annals of Mathematics,Series B,2015,36(3):437-446. 被引量：1
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5Xiu HAN,Wei WANG,Chunguang XIA.Classification and Central Extensions of a Class of Lie Algebras of Block Type[J].Journal of Mathematical Research with Applications,2016,36(3):285-290.
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6Ming Gao,Ying Xu,Xiaoqing Yue.The Lie Conformal Algebra of a Block Type Lie Algebra[J].Algebra Colloquium,2015,22(3):367-382. 被引量：1
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7Bin 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吴明忠,白承铭.Compatible Lie Bialgebras[J].Communications in Theoretical Physics,2015,63(6):653-664. 被引量：1
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9Yue-zhu WU & Yu-cai SU Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China,Department of Mathematics, Qufu Normal University, Qufu 273165, China,Department of Mathematics, University of Science and Technology of China, Hefei 230026, China.Highest weight representations of a Lie algebra of Block type[J].Science China Mathematics,2007,50(4):549-560. 被引量：4
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10ZHANG 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.
