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Hamiltonian type Lie bialgebras

查看全文 作  者:Bin 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 高影响力作者 出  处:《Science China Mathematics》索引2007年第50卷第9期,共13页高影响力期刊 基  金:This work was supported by the National Natural Science Foundation of China (Grant No.10471091);'One Hundred Talents Program'from University of Science and Technology of China 摘  要:We first prove that,for any generalized Hamiltonian type Lie algebra H,the first co- homology group H^1(H,H(?)H) is trivial.We then show that all Lie bialgebra structures on H are triangular. 关 键 词:LIE BIALGEBRA YANG-BAXTER EQUATION HAMILTONIAN LIE ALGEBRA
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