| n-RDS型代数群及其李代数 |
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| 引用本文： | 王丽,张娟娟,宁晓艳,王宪栋.n-RDS型代数群及其李代数[J].青岛大学学报(自然科学版),2008,21(4). |
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| 作者姓名： | 王丽 张娟娟 宁晓艳 王宪栋 |
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| 作者单位： | 青岛大学,数学科学学院,山东,青岛,266071 |
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| 摘 要： | 通过对代数群的连通正规闭子群格的讨论研究代数群。根据连通正规闭子群格满足的一些条件，定义了n—RDS型代数群。通过讨论它与n—RDS型李代数的关系，刻画了n—RDS型代数群的一些性质，并给出了一些实例。
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| 关 键 词： | 代数群 连通正规闭子群 n—RDS型代数群 n—RDS型李代数 |
n-RDS Type Algebraic Groups and Their Lie Algebras |
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| WANG Li,ZHANG Juan-juan,NING Xiao-yan,WANG Xian-dong.n-RDS Type Algebraic Groups and Their Lie Algebras[J].Journal of Qingdao University(Natural Science Edition),2008,21(4). |
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| Authors: | WANG Li ZHANG Juan-juan NING Xiao-yan WANG Xian-dong |
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| Abstract: | Some algebraic groups are discussed by looking into the lattice of their closed connected normal subgroups.From this point of view,a class of algebraic groups,called n-RDS type algebraic groups,is defined.By comparing this concept with that of the n-RDS type Lie algebras,the paper describes some properties of them and gives some examples. |
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| Keywords: | algebraic groups closed connected normal subgroups n-RDS type algebraic groups n-RDS type Lie Algebras |
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