| Jordan-Chevalley分解的推广及应用 |
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| 引用本文： | 陈秀梅.Jordan-Chevalley分解的推广及应用[J].潍坊学院学报,2012(2):35-36. |
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| 作者姓名： | 陈秀梅 |
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| 作者单位： | 潍坊学院,山东潍坊,261061 |
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| 摘 要： | 本文在任意的代数闭域上证明了Jordan-Chevalley分解,应用这种分解给出了李代数中的两种Jordan分解并且在半单纯李代数时说明了两种分解的一致性。
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| 关 键 词： | Jordan-Chevalley分解 代数闭域 半单 幂零 |
The Generalization of The Jordan-chevalley Decomposition and it’s Applications |
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| CHEN Xiu-mei.The Generalization of The Jordan-chevalley Decomposition and it’s Applications[J].Journal of Weifang University,2012(2):35-36. |
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| Authors: | CHEN Xiu-mei |
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| Institution: | CHEN Xiu-mei(Weifang University,Weifang 261061,China) |
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| Abstract: | In this paper,the Jordan-Chevalley decomposition on an arbitrary algebraically closed field is proven and by this decomposition,we get two Jordan decompositions in Lie algebra,furthermore,we shows two decomposition consistency on the semi-simple Lie algebra. |
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| Keywords: | jordan-chevalley decomposition algebraically closed field semi-simple nilpotent |
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