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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…
math.AT2018★ 1 cited
The rational cohomology Hopf algebra of a generic Kac-Moody group
Xu-an Zhao, Hongzhu Gao
In this paper we determine the rational homotopy type of the classifying space of a generic Kac-Moody group by computing its rational cohomology ring. As an application we determin…
math.AT2012
A Geometric Definition Of Schubert Polynomials and Dual Schubert Polynomials For Classical Lie Groups
Zhao Xu-an, Gao Hongzhu
In this paper, we first discuss the topological properties of projective Stiefel manifolds, we compute their cohomology rings and classify their cohomology endomorphisms; Then by e…