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| N=2超代数的一类子代数的研究 | |
| 引用本文： | 党佳华,刘东,高寿兰. N=2超代数的一类子代数的研究[J]. 杭州电子科技大学学报, 2014, 0(2): 45-47 |
| 作者姓名： | 党佳华 刘东 高寿兰 |
| 作者单位： | [1]杭州电子科技大学理学院,浙江杭州310018 [2]湖州师范学院理学院,浙江湖州313000 |
| 基金项目： | 国家自然科学基金资助项目（11071068,11201141）; 浙江省自然科学基金资助项目（Y6100148,LQ12A01005） |
| 摘 要： | 主要研究了N=2超代数的一类子代数N的结构。首先,通过计算N的2-上同调群确定了它的泛中心扩张;其次,证明了N的所有导子都是内导子;最后,确定了N的自同构群的结构。 |
| 关 键 词： | 李超代数 导子 中心扩张 自同构 |
A Study of One Lie Sub-superalgebra of the N = 2 Superconformal Algebras |
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| Dang Jiahua,Liu Dong,Gao Shoulan. A Study of One Lie Sub-superalgebra of the N = 2 Superconformal Algebras[J]. Journal of Hangzhou Dianzi University, 2014, 0(2): 45-47 | |
| Authors: | Dang Jiahua Liu Dong Gao Shoulan |
| Affiliation: | 1. School of Science, Hangzhou Dianzi University, Hangzhou Zhejiang 310018, China; Department of Sciences and Mathematics, Huzhou Teachers College, Huzhou Zheiiang 313000, China) |
| Abstract: | We mainly study the structures of the N = 2 sub-superalgebra. Firstly,the universal central extension of N is given by calculating the second cohomology group with trivial coefficients for N. Secondly, the derivation algebra of N is determined and it is proved that N has only inner derivation. Finally,the structures of the automorphism groups of N are characterized. |
| Keywords: | Lie superalgebra derivation algebra central extensions automorphism |
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