| 李代数L(Z,f,δ)的特殊性质 |
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| 引用本文： | 余德民,卢才辉. 李代数L(Z,f,δ)的特殊性质[J]. 数学进展, 2006, 35(6): 707-711 |
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| 作者姓名： | 余德民 卢才辉 |
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| 作者单位： | 1. 湖南师范大学数学系,长沙,湖南,410081
2. 首都师范大学数学系,北京,100037 |
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| 基金项目： | 国家自然科学基金(No．10371036)，湖南省教育厅重点项目(No．02A024) |
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| 摘 要： | 研究一类特殊的无限维李代数．利用系数矩阵和极大项,证明了这类李代数是半单李代数且没有二维交换子代数．
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| 关 键 词： | 中心 半单李代数 极大项 系数矩阵 |
| 文章编号： | 1000-0917（2006）06-0707-05 |
| 收稿时间： | 2005-10-25 |
| 修稿时间： | 2005-11-23 |
Special Property of Lie Algebra L(Z, f, δ) |
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| YU De-min,LU Cai-hui. Special Property of Lie Algebra L(Z, f, δ)[J]. Advances in Mathematics(China), 2006, 35(6): 707-711 |
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| Authors: | YU De-min LU Cai-hui |
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| Affiliation: | 1. Department of Mathematics, Hunan Normal University, Changsha, Hunan, 410081, P. R. China; 2 Department of Mathematics, Capital Normal University, Beijing, 100037, P. R. China |
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| Abstract: | In this paper, a special infinite dimensional Lie algebra is studied. Using the notion of coefficient matrix and maximal element. We prove that the Lie algebra is semi-simple and it has no abelian two dimensional subalgebra. |
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| Keywords: | center semi-simple Lie algebra maximal element coefficient matrix |
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