| Dm型正交代数的极大幂零子代数上保零李括积的映射 |
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| 引用本文： | 赵延霞,韩学锋.Dm型正交代数的极大幂零子代数上保零李括积的映射[J].数学杂志,2014,34(5):829-842. |
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| 作者姓名： | 赵延霞 韩学锋 |
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| 作者单位： | 河南理工大学数学与信息科学学院;河南理工大学人事处; |
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| 基金项目： | Supported by National Natural Science Foundation of China(11126121);Supported by Doctor Foundation of Henan Polytechnic University(B2010-93);Supported by Natural Science Research Program of Science and Technology Department of Henan Province(112300410120);Supported by Natural Science Research Program of Education Department of Henan Province(2011B110016);Supported by Applied Mathematics Provincial-level Key Discipline of Henan Province |
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| 摘 要： | 令F表示任意域,l_(2m)(F)表示F上D_m型正交李代数的极大幂零子代数.本文的目的是当m≥5时,刻画l_(2m)(F)上的每一个双向保零李括积的映射.利用文献7]的主要结果和矩阵计算技巧,本文证明了l_(2m)(F)上的一个线性映射φ是双向保零李括积的当且仅当φ能够写成内自同构,图自同构,广义的对角自同构,中心映射,次中心自同构,极端映射和标量乘法的乘积.这推广了文献7]的主要结果.
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| 关 键 词： | 极大幂零子代数 零李括积 D_m型正交李代数 |
| 收稿时间： | 2012/7/5 0:00:00 |
| 修稿时间： | 2012/11/30 0:00:00 |
MAPS PRESERVING ZERO LIE BRACKETS ON A MAXIMAL NILPOTENT SUBALGEBRA OF THE ORTHOGONAL LIE AlGEBRA OF Dm TYPE |
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| ZHAO Yan-xiaa and HAN Xue-feng.MAPS PRESERVING ZERO LIE BRACKETS ON A MAXIMAL NILPOTENT SUBALGEBRA OF THE ORTHOGONAL LIE AlGEBRA OF Dm TYPE[J].Journal of Mathematics,2014,34(5):829-842. |
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| Authors: | ZHAO Yan-xiaa and HAN Xue-feng |
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| Institution: | School of Math. and Information Science, Henan Polytechnic University, Jiaozuo 454000, China and Personnel Division, Henan Polytechnic University, Jiaozuo 454000, China |
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| Abstract: | |
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| Keywords: | maximal nilpotent subalgebra zero Lie brackets Dm type orthogonal Lie algebra |
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