| 关于单李超三系的分类(英文) |
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| 引用本文： | 张知学,刘文丽,贾培佩. 关于单李超三系的分类(英文)[J]. 数学进展, 2011, 0(3) |
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| 作者姓名： | 张知学 刘文丽 贾培佩 |
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| 作者单位： | 河北大学数学系;河北金融学院基础部; |
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| 基金项目： | Supported by the Natural Science Foundation of Hebei Province of China(No.A2005000088, No.A2007000138); the Youth Foundation of Hebei Finance University(No.JY201012) |
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| 摘 要： | 本文证明了特征零代数闭域上的单李超三系可分为两部分:一是将单李超代数视为李超三系;二是单李超代数的对合自同构的(-1)-特征子空间.这些推广了Lister和Meyberg给出的关于单李三系分类的相应结果.
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| 关 键 词： | 李超代数 李超三系 标准嵌入 |
On the Classification of Simple Lie Supertriple Systems |
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| ZHANG Zhixue,LIU Wenli,JIA Peipei. On the Classification of Simple Lie Supertriple Systems[J]. Advances in Mathematics(China), 2011, 0(3) |
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| Authors: | ZHANG Zhixue LIU Wenli JIA Peipei |
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| Affiliation: | ZHANG Zhixue~(1,*),LIU Wenli~(1,**),JIA Peipei~2 (1.Institute of Mathematics and Computers,Hebei University,Baoding,Hebei,071002,P.R.China,2.Fundamental Department,Hebei College of Finance,071051,P.R.China) |
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| Abstract: | It is proved that all simple Lie supertriple systems over an algebraically closed field F of characteristic zero are divided into two parts:the simple Lie superalgebras in viewed as simple Lie supertriples,and the(-1)-eigenspaces of involutions of simple Lie superalgebras. These generalize the corresponding results on the classification of simple Lie triple systems, given by Lister and Meyberg. |
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| Keywords: | Lie superalgebra Lie supertriple system standard imbedding |
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