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math.AT2026
A Classification of Self-Maps of Generalized Grassmannians
Haibao Duan, Ruizhi Huang, Xuezhi Zhao
Generalized Grassmannians form a fundamental class of flag manifolds associated with Lie groups. The purpose of this paper is to classify self-maps of generalized Grassmannians of…
math.AT2024
The cohomology of projective unitary groups
Haibao Duan
The projective unitary group PU(n) is the quotient of the unitary group U(n) by its center. We compute the integral cohomology ring of PU(n) using explicit constructed generators.