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The cohomology of $BPU(p^m)$ and polynomial invariants (2306.17599v4)

Published 30 Jun 2023 in math.AT and math.RT

Abstract: For an odd prime $p$, we explore some connections between the cohomology algebra $H*(BPU{pm};\mathbb{F}_p)$ and the subrings of the polynomial ring $\mathbb{F}p[\xi_1,\eta_1,\cdots,\xi_l,\eta_l]$ that are invariant under some $Sp{2m}(\mathbb{F}p)$-action and $GL{2m}(\mathbb{F}_p)$-action.

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