Squaring operations in the 4-connective fibre spaces over the classifying spaces of the exceptional Lie groups

DOI10.2977/prims/1195178517zbMath0606.55013OpenAlexW1969066411WikidataQ115224804 ScholiaQ115224804MaRDI QIDQ1084703

Akira Kono, Kiminao Ishitoya

Publication date: 1985

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195178517

zbMATH Keywords

Weyl groupmaximal torusaction of the Steenrod algebracohomology of the classifying spacecompact simply connected Lie groupexceptional type

Mathematics Subject Classification ID

Homology and cohomology of Lie groups (57T10) Steenrod algebra (55S10) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Related Items

\(KO\)-theory of exceptional flag manifolds, Chow rings of versal complete flag varieties, On the Stiefel-Whitney class of the adjoint representation of \(E_8\)

Cites Work

• The integral cohomology ring of the symmetric space EVII
• On the cohomology of irreducible symmetric spaces of exceptional type
• Homotopy Groups of Compact Lie Groups E₆, E₇ and E₈
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