线性代数幺半群中极大子群的Weyl群结构  

The Structure of Weyl Groups of Maximal Subgroups of Linear Algebraic Monoids

作　　者：李军 LI Jun(School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China)

机构地区：[1]广州大学数学与信息科学学院,广东广州510006

出　　处：《郑州大学学报（理学版）》2018年第1期82-85,共4页Journal of Zhengzhou University:Natural Science Edition

基　　金：国家自然科学基金项目(11171202)

摘　　要：研究了线性代数幺半群的单位群与核中的极大子群间的Weyl群结构联系.利用半群理论中幂等元的权重,给出了Weyl群的阶的特征刻画.The relationship between Weyl groups and maximal subgroups of linear algebraic monoids was studied.By using the weight of idempotents as defined in semigroup theory,a characterization of the order of the Weyl groups was derived.

关 键 词：代数群 代数幺半群 WEYL群 极大子群 

分 类 号：O152.3[理学—数学]