| 两类6维幂零李代数的上同调群 |
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| 引用本文： | 杨恒云,叶鑫.两类6维幂零李代数的上同调群[J].上海海事大学学报,2012,33(1):91-94. |
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| 作者姓名： | 杨恒云 叶鑫 |
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| 作者单位： | 上海海事大学文理学院,上海,201306 |
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| 基金项目： | ：国家自然科学基金（１１１０１２６６，１１０７１１５９）；上海海事大学校基金（２０１２００６２） |
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| 摘 要： | 由于低维幂零李代数的分类问题尚未解决,在de GRAAF研究的基础上,对复数域上两类6维幂零李代数的低阶上同调群进行研究,确定其导子代数、自同构群及二上循环,其结果对进一步研究一般幂零李代数的结构和表示具有参考价值。
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| 关 键 词： | 李代数 导子代数 自同构群 二上循环 |
| 收稿时间： | 5/12/2011 9:33:40 AM |
| 修稿时间： | 9/25/2011 4:24:31 PM |
Cohomology groups of two classes of 6 dimensional nilpotent Lie algebras |
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| Yang Hengyun and.Cohomology groups of two classes of 6 dimensional nilpotent Lie algebras[J].Journal of Shanghai Maritime University,2012,33(1):91-94. |
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| Authors: | Yang Hengyun and |
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| Institution: | Shanghai Maritime University, Arts and Sciences College and 1 |
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| Abstract: | As the classification of low-dimensional nilpotent Lie algebras remains unresolved,the low-dimensional cohomology groups of two classes of 6-dimensional complex nilpotent Lie algebras are studied,and their derivation algebras,automorphism groups and 2-cocycles are determined based on the research of de GRAAF.The results provide reference for the further study on the structure and representation of general nilpotent Lie algebras. |
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| Keywords: | Lie algebra derivation algebra automorphism group 2-cocycle |
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