| 一类幂零李代数的可解扩张 |
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| 引用本文： | 李小朝,胡余旺. 一类幂零李代数的可解扩张[J]. 信阳师范学院学报(自然科学版), 2011, 0(4): 444-446 |
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| 作者姓名： | 李小朝 胡余旺 |
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| 作者单位： | 黄淮学院数学科学系;信阳师范学院数学与信息科学学院; |
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| 基金项目： | 河南省基础与前沿技术研究计划项目(092300410199) |
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| 摘 要： | 对于一个给定的幂零李代数N,确定了所有以N为幂零根基(极大幂零理想)的可解李代数S.可解李代数S的维数至多是dimN+2.
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| 关 键 词： | 幂零李代数 可解李代数 导子 |
All the Solvable Extensions of a Class of Nilpotent Lie Algebras |
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| LI Xiao-chao,HU Yu-wang. All the Solvable Extensions of a Class of Nilpotent Lie Algebras[J]. Journal of Xinyang Teachers College(Natural Science Edition), 2011, 0(4): 444-446 |
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| Authors: | LI Xiao-chao HU Yu-wang |
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| Affiliation: | LI Xiao-chao1*,HU Yu-wang2(1.Department of Mathematics,Huanghuai University,Zhumadian 463000,China,2.College of Mathematics and Information Science,Xinyang Normal University,Xinyang 464000,China) |
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| Abstract: | All the solvable Lie algebras S with nilpotent Lie algebra N as their nilradical are obtained.The results show that the dimensions of solvable Lie algebras are no more than dim N+2. |
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| Keywords: | nilpotent Lie algebra solvable Lie algebra derivation |
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