| （Co）Homology and Universal Central Extension of Hom-Leibniz Algebras |
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| 作者姓名： | Yong Sheng CHENG Yu Cai SU |
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| 作者单位： | [1]Institute of Contemporary Mathematics ＆ College of Mathematics and Information Science, He＇nan University, Kaifeng 475004, P. R. China [2]Wu Wen- Tsun Key Laboratory of Mathematics, University of Science and Technology of China, Hefei 230026, P. R. China [3]Department of Mathematics, Tongji University, Shanghai 200092, P. R. China |
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| 基金项目： | Supported by National Natural Science Foundation of China （Grant Nos. 10825101, 11047030） and Natural Science Foundation of He＇nan Provincial Education Department （Grant No. 2010Bl10003） |
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| 摘 要： |
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| 关 键 词： | 莱布尼茨 李代数 同源性 中心扩张 通用 结构理论 CO |
(Co)Homology and universal central extension of Hom-Leibniz algebras |
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| Yong Sheng CHENG,Yu Cai SU.(Co)Homology and universal central extension of Hom-Leibniz algebras[J].Acta Mathematica Sinica,2011,27(5):813-830. |
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| Authors: | Yong Sheng Cheng Yu Cai Su |
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| Institution: | 1.Institute of Contemporary Mathematics & College of Mathematics and Information Science,He’nan University,Kaifeng,P. R. China;2.Wu Wen-Tsun Key Laboratory of Mathematics,University of Science and Technology of China,Hefei,P. R. China;3.Department of Mathematics,Tongji University,Shanghai,P. R. China |
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| Abstract: | Hom-Leibniz algebra is a natural generalization of Leibniz algebras and Hom-Lie algebras. In this paper, we develop some structure
theory (such as (co)homology groups, universal central extensions) of Hom-Leibniz algebras based on some works of Loday and
Pirashvili. |
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| Keywords: | Hom-Leibniz algebra （co）homology theory central extension |
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