Feifei Fan

works on

classifying spaces 1 cohomology 1 compact Lie groups 1 counterexample 1 elementary abelian subgroups 1

From the 1 of 4 linked papers with an AI index.

activity

20242026

collaborators

4 papers

math.AT2026

A counterexample to a conjecture of Adams

Feifei Fan

The paper disproves J. F. Adams’s conjecture that the mod‑p cohomology of classifying spaces of compact Lie groups is always detected by elementary abelian p‑subgroups, by exhibiti…

math.AT2025

A formula for the mod $p$ cohomology of $B P U (p)$

Feifei Fan

We study the mod $p$ cohomology ring of the classifying space $B P U (p)$ of the projective unitary group $P U (p)$ , when $p$ is an odd prime. We prove a mod $p$ formula analogous to a…

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

Operators on symmetric polynomials and applications in computing the cohomology of $B P U_{n}$

Feifei Fan

This paper studies the integral cohomology ring of the classifying space $B P U_{n}$ of the projective unitary group $P U_{n}$ . By calculating a Serre spectral sequence, we determine the…

A counterexample to a conjecture of Adams

A formula for the mod p cohomology of BPU(p)

Cohomology of BPUn​ and rings of invariants of Weyl groups

Operators on symmetric polynomials and applications in computing the cohomology of BPUn​

A formula for the mod $p$ cohomology of $B P U (p)$

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

Operators on symmetric polynomials and applications in computing the cohomology of $B P U_{n}$