David Benson, John Greenlees
Published 2022-05-04Version 1
Let $G$ be a compact Lie group with maximal torus $T$. If $|N_G(T)/T|$ is invertible in the field $k$ then the algebra of cochains $C^*(BG;k)$ is formal as an $A_\infty$ algebra, or equivalently as a DG algebra.
Cohomology of the space of commuting n-tuples in a compact Lie group
The cohomology of compact Lie groups
On the cokernel of the Thom morphism for compact Lie groups
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