Computation of the cohomology rings of Kac-Moody groups, their flag manifolds and classifying spaces  

作　　者：Xu-an ZHAO 

机构地区：[1]School of Mathematical Sciences,Beijing Normal University,Key Laboratory of Mathematics and Complex Systems,Ministry of Education,Beijing 100875,China

出　　处：《Frontiers of Mathematics in China》2022年第3期437-454,共18页中国高等学校学术文摘·数学（英文）

基　　金：National Natural Science Foundation of China(Grant No.12071034).

摘　　要：In this paper we introduce the history and present situation of the computation of the cohomology rings of Kac-Moody groups,their flag manifolds and classifying spaces,and give some problems and conjectures that deserve further study.

关 键 词：Kac-Moody groups flag manifolds classifying spaces cohomology rings spectral sequences 

分 类 号：O15[理学—数学]