most citedCohomology of classifying spaces of rank 3 Kac-Moody groups

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math.AT2025★ 1 cited

Cohomology of classifying spaces of rank 3 Kac-Moody groups

Ruan Yangyang, Zhao Xu-an

We represent the rational and mod cohomology groups of classifying spaces of rank 3 Kac-Moody groups by a direct sum of the invariants of Weyl groups and their quotients. As an…

math.AT2021

The rational cohomology groups of the classifying spaces of Kac-Moody groups

Zhao Xu-an, Gao Hongzhu, Ruan Yangyang

In this paper, we compute the rational cohomology groups of the classifying space of a simply connected Kac-Moody group of infinite type. The fundamental principle is "from finite…