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The cohomology of the classifying space of $PU(4)$ (2405.08256v5)

Published 14 May 2024 in math.AT

Abstract: Let $BPU(n)$ be the classifying space of the projective unitary group $PU(n)$. We determine the integral cohomology ring of $BPU(4)$, and the Steenrod algebra structure of its mod $2$ cohomology.

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