Kac-Moody群的抛物子群的同构型  

The Isomorphism Types of Parabolic Subgroups in Kac-Moody Groups

作　　者：赵旭安[1] 阮洋洋 王冉 ZHAO Xu'an;RUAN Yangyang;WANG Ran(School of Mathematical Sciences,Beijing Normal University and Key Laboratory of Mathematics and Complex Systems,Ministry of Education,Beijing,100875,P.R.China;Beijing Institute of Mathematical Sciences and Applications,Beijing,101408,P.R.China;College of Information and Management Science,Henan Agricultural University,Zhengzhou,Henan,450046,P.R.China)

机构地区：[1]北京师范大学数学科学学院,教育部数学和复杂系统重点实验室 [2]北京应用数学研究院 [3]河南农业大学信息与管理科学学院

出　　处：《数学进展》2024年第3期579-587,共9页Advances in Mathematics（China）

基　　金：Supported by NSFC(No.12071034);Beijing Municipal Natural Science Foundation(No.1222009)。

摘　　要：本文讨论了Kac-Moody群的抛物子群的同构型.所得结果可应用于Kac-Moody群和它们的分类空间的拓扑的研究.In this paper we discuss the isomorphism types of parabolic subgroups in KacMoody groups.The results have applications in the study of topology of Kac-Moody groups and their classifying spaces.

关 键 词：CARTAN矩阵 Kac-Moody李代数和群 抛物子群 

分 类 号：O152.5[理学—数学]