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

2025/03/30 by Fan, Feifei
#Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.23399

Abstract

We study the mod p cohomology ring of the classifying space BPU(p) of the projective unitary group PU(p), when p is an odd prime. We prove a mod p formula analogous to a formula of Vistoli for the integral cohomology ring of BPU(p). As an application, we give a simple topological proof of Vistoli's formula.

Related

• The cohomology of the classifying space of PU(4)
• The cohomology of projective unitary groups
• Operators on symmetric polynomials and applications in computing the cohomology of BPU_n
• The cohomology of BPU(p^m) and polynomial invariants
• Cohomology of BPU_n and rings of invariants of Weyl groups