| 关于半单李代数的抛物子代数中的一类双极化 |
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| 引用本文： | 邓少强.关于半单李代数的抛物子代数中的一类双极化[J].数学年刊A辑(中文版),2006(1). |
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| 作者姓名： | 邓少强 |
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| 作者单位： | 南开大学数学科学学院教育部核心数学与组合数学重点实验室 天津 |
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| 基金项目： | 国家自然科学基金(No．10371057)
教育部优秀青年教师资助计划和新世纪优秀人才支持计划资助的项目 |
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| 摘 要： | 本文给出了一种构造复半单李代数抛物子代数中双极化的方法,并给出了其实形式．一般情况下,构造的双极化是非对称的．这种构造方法给出了一大类非可解李代数中极化的例子．后者在表示理论和物理,特别是力学中有重要应用．
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| 关 键 词： | 双极化 极化 非对称双极化 |
On a Class of Dipolarizations in Parabolic Subalgebras of Semisimple Lie Algebras |
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| DENG Shaoqiang School of Mathematical Sciences and Key Laboratary of Pure Mathematics and Combinatory,Nankai University,Tianjin ,China..On a Class of Dipolarizations in Parabolic Subalgebras of Semisimple Lie Algebras[J].Chinese Annals of Mathematics,2006(1). |
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| Authors: | DENG Shaoqiang School of Mathematical Sciences and Key Laboratary of Pure Mathematics and Combinatory Nankai University Tianjin China |
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| Institution: | DENG Shaoqiang School of Mathematical Sciences and Key Laboratary of Pure Mathematics and Combinatory,Nankai University,Tianjin 300071,China. |
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| Abstract: | This paper gives a method to construct dipolarizations in parabolic subalgebras of complex semisimple Lie algebras as well as some real forms of these Lie algebras. In general, the dipolarizations the author finds are nonsymmetric. This construction presents a large number of polarizations in non-solvable Lie algebras, which has important applications in representation theory and Physics, especially in Mechanics. |
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| Keywords: | Dipolarization Polarization Nonsymmetric dipolarization |
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