On the cohomology mod p of the classifying spaces of the exceptional Lie groups. I

DOI10.1215/KJM/1250522378zbMath0425.55009OpenAlexW4206602783WikidataQ115240372 ScholiaQ115240372MaRDI QIDQ1135546

Mamoru Mimura, Yuriko Sambe

Publication date: 1979

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250522378

zbMATH Keywords

classifying spacepolynomial algebraexceptional Lie groupsp-torsioncohomology mod p of the classifying spaces of the exceptional Lie groupscompact 1-connected simple Lie groupEilenberg-Moore spectral sequencesHopf algebras over the mod p Steenrod algebra

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Steenrod algebra (55S10) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Eilenberg-Moore spectral sequences (55T20) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05)

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Computation of the cohomology rings of Kac-Moody groups, their flag manifolds and classifying spaces

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