一类复单李代数的保根正交变换群  

A Class of Complex Simple Lie Algebra Remain the Same Root Orthogonal Transformation Groups

作　　者：杨增[1] 侯汝臣[1] 张小霞[1] 

机构地区：[1]烟台大学数学与信息科学学院,山东烟台264005

出　　处：《烟台大学学报（自然科学与工程版）》2012年第2期79-81,共3页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：国家自然科学基金资助项目(10971011)

摘　　要：Al型复单李代数的保根正交变换群G与Weyl群W之间有着密切关系.一方面得到了W是G的极大正规子群,并且求出了G与W的商群G/W.另一方面构造了G的一个异于Weyl群的极大正规子群,从而说明G的极大正规子群并不唯一.The group G which keep the same root and the Weyl group W are closely associates in the simple Lie algebra. On the one hand, we have that W is the maximal normal sub-group of G, as well we get the quotient group. On the other hand, we structure maximal normal subgroup. That shows that W is not the only maximal subgroup of G.

关 键 词：WEYL群 单李代数 素根系 DYNKIN图 保根正交变换 

分 类 号：O152[理学—数学]