| 线性变换张量积的Jordan-Chevalley分解 |
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| 引用本文： | 胡建华,曾博文,王资敏.线性变换张量积的Jordan-Chevalley分解[J].上海理工大学学报,2017,39(6):539-541,548. |
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| 作者姓名： | 胡建华 曾博文 王资敏 |
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| 作者单位： | 上海理工大学 理学院, 上海 200093,上海理工大学 理学院, 上海 200093,上海理工大学 理学院, 上海 200093 |
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| 基金项目： | 上海理工大学教师教学发展研究基金资助项目（CFTD17015Z，CFTD17016Z） |
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| 摘 要： | 研究了线性变换张量积的Jordan-Chevalley分解相关理论.首先利用矩阵表示来讨论2个线性变换张量积的一些基本性质,接着证明了2个线性变换张量积的Jordan-Chevalley分解的唯一存在性,最后利用这些结论给出了Jordan-Chevalley分解的具体表达式.
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| 关 键 词： | 张量积 矩阵表示 Jordan-Chevalley分解 |
| 收稿时间： | 2017/5/5 0:00:00 |
Jordan-Chevalley Decomposition of the Tensor Product of Linear Transformations |
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| HU Jianhu,ZENG Bowen and WANG Zimin.Jordan-Chevalley Decomposition of the Tensor Product of Linear Transformations[J].Journal of University of Shanghai For Science and Technology,2017,39(6):539-541,548. |
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| Authors: | HU Jianhu ZENG Bowen and WANG Zimin |
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| Institution: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China,College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China and College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | In order to study the Jordan-Chevalley decomposition theory of the tensor product of linear transformations,it was suggested to discuss firstly some properties of the tensor product of two linear transformations via its matrix representation,then prove the unique existence of such decomposition,and give a specific expression. |
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| Keywords: | tensor product matrix representation Jordan-Chevalley decomposition |
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