On $H^{\ast }(BP{U}_n;\mathbb{Z})$ 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…