Xing Gu

activity

20162024

most citedOn the Cohomology of the Classifying Spaces of Projective Unitary Groups

23 citations · 42 across the 10 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

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…

math.AT2021★ 1 cited

On $H^{*} (B P U_{n}; Z)$ and Weyl group invariants

Diarmuid Crowley, Xing Gu

For the projective unitary group $P U_{n}$ with a maximal torus $T_{P U_{n}}$ and Weyl group $W$ , we show that the integral restriction homomorphism \[ρ_{PU_n} \colon H^*(BPU_n;\mathbb{Z…

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

On H∗(BPUn​;Z) and Weyl group invariants

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

On $H^{*} (B P U_{n}; Z)$ and Weyl group invariants