| 广义仿射李代数上的非交换Poisson代数结构 |
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| 引用本文： | 佟洁,靳全勤.广义仿射李代数上的非交换Poisson代数结构[J].数学学报,2011(4). |
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| 作者姓名： | 佟洁 靳全勤 |
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| 作者单位： | 上海电力学院数理系;同济大学数学系; |
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| 基金项目： | 国家自然科学基金资助项目(11071187); 上海市教委科研创新资助项目(09YZ336); 上海市自然科学基金资助项目 |
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| 摘 要： | 非交换的Poisson代数同时具有(未必交换的)结合代数和李代数两种代数结构,且结合代数和李代数之间满足所谓的Leibniz法则.本文确定了一般广义仿射李代数上所有的Poisson代数结构.
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| 关 键 词： | 广义仿射李代数 Poisson代数 Leibniz法则 |
Non-commutative Poisson Algebra Structures on Extended Affine Lie Algebras |
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| Jie TONG.Non-commutative Poisson Algebra Structures on Extended Affine Lie Algebras[J].Acta Mathematica Sinica,2011(4). |
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| Authors: | Jie TONG |
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| Institution: | Jie TONG Department of Mathematics and Physics,Shanghai University of Electric Power,Shanghai 200090,P.R.China Quan Qin JIN Department of Mathematics,Tongji University,Shanghai 200092,P.R.China |
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| Abstract: | Non-commutative Poisson algebras are the algebras having both an associative algebra structure and a Lie algebra structure together with the Leibniz law.In the paper,the non-commutative poisson algebra structures on extended affine Lie algebras are determined. |
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| Keywords: | extended affine Lie algebras Poisson algebras Leibniz law |
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