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

doi:10.1007/s11464-022-1016-z

Front. Math. China

2022, Vol. 17

Issue (3) : 437-454 https://doi.org/10.1007/s11464-022-1016-z

SURVEY ARTICLE

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

Xu-an ZHAO(

)

School of Mathematical Sciences, Beijing Normal University, Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China

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Abstract

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.

Keywords Kac-Moody groups flag manifolds classifying spaces cohomology rings spectral sequences

Corresponding Author(s): Xu-an ZHAO

Issue Date: 25 May 2022

Cite this article:

Xu-an ZHAO. Computation of the cohomology rings of Kac-Moody groups, their flag manifolds and classifying spaces[J]. Front. Math. China, 2022, 17(3): 437-454.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-022-1016-z
https://academic.hep.com.cn/fmc/EN/Y2022/V17/I3/437

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