n-RDS型代数群及其李代数  

n-RDS Type Algebraic Groups and Their Lie Algebras

作　　者：王丽[1] 张娟娟[1] 宁晓艳[1] 王宪栋[1] 

机构地区：[1]青岛大学数学科学学院,山东青岛266071

出　　处：《青岛大学学报（自然科学版）》2008年第4期42-45,共4页Journal of Qingdao University(Natural Science Edition)

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。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.

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 

分 类 号：O152.5[理学—数学]