| 实半单Lie代数的Cartan分解的存在性 |
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| 引用本文： | 沙吾提·阿吾提. 实半单Lie代数的Cartan分解的存在性[J]. 新疆师范大学学报(自然科学版), 2008, 27(3): 15-17 |
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| 作者姓名： | 沙吾提·阿吾提 |
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| 作者单位： | 伊犁师范学院数学系,新疆伊宁835000 |
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| 摘 要： | 文章中的第一部分证明复Lie代数有关的几个引理，第二部分证明一个定理，然后给出实半单Lie代数的Cartan分解的定义，最后证明实半单Lie代数的Caftan分解的存在性。
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| 关 键 词： | 复Lie代数 实半单Lie代数 Caftan分解 |
On the Existence of Cartan Decomposation of Real Semisimple Lie Algebra |
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| Shawuti AWUTI. On the Existence of Cartan Decomposation of Real Semisimple Lie Algebra[J]. Journal of Xinjiang Normal University(Natural Sciences Edition), 2008, 27(3): 15-17 |
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| Authors: | Shawuti AWUTI |
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| Affiliation: | Shawuti AWUT (Department of Mathematics, Yili Normal University, Yining Xinjiang 835000) |
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| Abstract: | In the paper, several Lemmas related to complex Lie algebra are proved in the first section, and a theorem is proved in the second section. Then the author gives the definition of Cartan decomposition of real semisimple Lie algebra, and finally prove the existence of Caftan decomposation of real semisimple Lie algebra. |
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| Keywords: | Complex Lie algebra real semisimple Lie algebra Cartan decomposation |
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