n-RDS型代数群及其李代数

n-RDS Type Algebraic Groups and Their Lie Algebras

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.