Zhilei Zhang

collaborators

2 papers

math.AT2025

Cohomology of $B P U_{n}$ and rings of invariants of Weyl groups

Feifei Fan, Jiaxi Zha, Zhilei Zhang +1

Let $P U_{n}$ denote the projective unitary group of rank $n$ and $B P U_{n}$ be its classifying space, for $n > 1$ . Using the Serre spectral sequence associated to the fibration $BU_n\to B…

math.AT2024

On the p-primary subgroups of the cohomology of the classifying spaces of PUn

Zhilei Zhang, Linan Zhong

Let $P U_{n}$ denote the projective unitary group of rank $n$ , and let $B P U_{n}$ be its classifying space. We extend our previous results to a description of $H^s(BPU_n;\mathbb{Z})_{(p)…

Cohomology of BPUn​ and rings of invariants of Weyl groups

On the p-primary subgroups of the cohomology of the classifying spaces of PUn

Cohomology of $B P U_{n}$ and rings of invariants of Weyl groups