| n+2维最大秩幂零n-Lie代数及其导子代数 |
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| 引用本文： | 李华君,白瑞蒲.n+2维最大秩幂零n-Lie代数及其导子代数[J].北京师范大学学报(自然科学版),2007,43(4):397-400. |
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| 作者姓名： | 李华君 白瑞蒲 |
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| 作者单位： | 保定学院数学与计算机系,071000,河北,保定;河北大学数学与计算机学院,071002,河北,保定 |
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| 摘 要： | 根据最大秩幂零n-Lie代数的概念及有关结论, 证明不可分解非Abel最大秩幂零的n 2维n-Lie代数在同构意义下只有一类, 给出了具体的乘法表, 并讨论了它的导子代数及其内导子代数.
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| 关 键 词： | n-Lie代数 最大秩幂零 极大环面 导子代数 |
| 修稿时间： | 2007-01-28 |
THE (n+2)-DIMENSIONAL MAXIMAL RANK NILPOTENT n-Lie ALGEBRAS AND ITS DERIVATION ALGEBRAS |
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| Li Huajun,Bai Ruipu.THE (n+2)-DIMENSIONAL MAXIMAL RANK NILPOTENT n-Lie ALGEBRAS AND ITS DERIVATION ALGEBRAS[J].Journal of Beijing Normal University(Natural Science),2007,43(4):397-400. |
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| Authors: | Li Huajun Bai Ruipu |
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| Institution: | 1.Department of Mathematics and Computer, Baoding Teachers College, 071000, Baoding, Hebei, China; 2.Department of Mathmatics, Hebei University, 071002, Baoding, Hebei, China |
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| Abstract: | The non-decomposable non-Abelian(n 2)-dimensional maximal rank nilpotent n-Lie algebras are investigated.In the sense of isomorphism,the multiplication tables of the basis elements are given.The structures of derivation algebras are discussed. |
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| Keywords: | n-Lie algebra maximal rank nilpotent maximal torus derivation algebras |
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