Zhilei Zhang

collaborators

3 papers

math.AT2024

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)…

math.AT2021

The $p$ -primary subgroups of the cohomology of $B P U_{n}$ in dimensions less than $2 p + 5$

Xing Gu, Yu Zhang, Zhilei Zhang +1

Let $P U_{n}$ the projective unitary group of rank $n$ and $B P U_{n}$ its classifying space. For an odd prime $p$ , we extend previous results to a compete description of $H^s(BPU_n;\math…

Cohomology of BPUn​ and rings of invariants of Weyl groups

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

The p-primary subgroups of the cohomology of BPUn​ in dimensions less than 2p+5

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

The $p$ -primary subgroups of the cohomology of $B P U_{n}$ in dimensions less than $2 p + 5$