An adjoint representation for polynomial algebras

Mitchell, Stephen A.; Stong, Robert E.

doi:10.1090/S0002-9939-1987-0897089-6

An adjoint representation for polynomial algebras
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by Stephen A. Mitchell and Robert E. Stong PDF

Proc. Amer. Math. Soc. 101 (1987), 161-167 Request permission

Abstract:

This paper shows that a graded polynomial algebra over ${F_2}$ with Steenrod algebra action possesses an analog of the adjoint representation for the cohomology of the classifying space of a compact connected Lie group.

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Inseparable forms of algebras over the Steenrod algebra