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| Hamiltonian type Lie bialgebras | |
| 作者姓名： | Bin XIN~ |
| 作者单位： | Bin XIN（Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China） ; Guang-ai SONG（College of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, China） ; Yu-cai SU（Department of Mathematics, University of Science and Technology of China, Hefei 230026, China） ; |
| 基金项目： | 国家自然科学基金;中国科学院"百人计划" |
| 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. |
| 收稿时间： | 1 August 2006 |
| 修稿时间： | 13 March 2007 |
Hamiltonian type Lie bialgebras |
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| Bin XIN.Hamiltonian type Lie bialgebras[J].Science in China(Mathematics),2007,50(9):1267-1279. | |
| Authors: | Bin Xin Guang-ai Song Yu-cai Su |
| Institution: | 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 |
| Abstract: | 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. |
| Keywords: | Lie bialgebra Yang-Baxter equation Hamiltonian Lie algebra |
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