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Proceedings of the American Mathematical Society
Article . 1987 . Peer-reviewed
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Proceedings of the American Mathematical Society
Article . 1987 . Peer-reviewed
Data sources: Crossref
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An adjoint representation for polynomial algebras

Authors: Robert E. Stong; Stephen A. Mitchell;

An adjoint representation for polynomial algebras

Abstract

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.

Keywords

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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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
bronze