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

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

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