| Heisenberg李代数的自同构群 |
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| 引用本文： | 张海山,邵文武,卢才辉.Heisenberg李代数的自同构群[J].首都师范大学学报(自然科学版),2007,28(1):1-7,14. |
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| 作者姓名： | 张海山 邵文武 卢才辉 |
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| 作者单位： | 首都师范大学数学科学学院,北京,100037 |
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| 摘 要： | 首先给出了Heisenberg李代数的两种定义形式,由这两种定义形式,我们得到了(2n 1)维Heisenberg李代数的自同构群Aut(H);此外,我们还给出Aut(H)的一些子群;并在低阶(n=0,1,2)情形下,讨论了Aut(H)与这些子群之间的关系.
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| 关 键 词： | Heisenberg李代数 自同构群 子群 |
| 修稿时间： | 2006-10-13 |
The Automorphism Group of Heisenberg Lie Algebra |
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| Zhang Haishan,Shao Wenwu,Lu Caihui.The Automorphism Group of Heisenberg Lie Algebra[J].Journal of Capital Normal University(Natural Science Edition),2007,28(1):1-7,14. |
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| Authors: | Zhang Haishan Shao Wenwu Lu Caihui |
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| Institution: | Department of Mathematics, Capital Normal University, Beijing 100037 |
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| Abstract: | In this paper,we first present two defining forms of Heisenberg Lie algebra.From these two forms,we determine the automorphism group Aut(H) of the(2n 1)-dimensional Heisenberg Lie algebra H.Moreover,some subgroups of Aut(H) are obtained.It has been proved that if n=0,1,2,then every element of Aut(H) is the multiplication of finitely many inner automorphisms,central automorphisms,ivolutionary automorphisms,and the first and the second extremal automorphisms. |
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| Keywords: | Heisenberg Lie algebra automorphism group subgroup |
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