
This paper shows that a graded polynomial algebra over F 2 {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.
adjoint representation, Hochschild homology, Homology of classifying spaces and characteristic classes in algebraic topology, Thom module, Homology and homotopy of topological groups and related structures, compact Lie group, polynomial algebra, Steenrod algebra, classifying spaces of Lie groups
adjoint representation, Hochschild homology, Homology of classifying spaces and characteristic classes in algebraic topology, Thom module, Homology and homotopy of topological groups and related structures, compact Lie group, polynomial algebra, Steenrod algebra, classifying spaces of Lie groups
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