On the cohomology mod 2 of the classifying space of the 1-connected exceptional Lie group \(E_7\)

DOI10.1016/0022-4049(76)90048-7zbMath0354.57016OpenAlexW1993761037WikidataQ115364470 ScholiaQ115364470MaRDI QIDQ1236835

Akira Kono, Nobuo Shimada, Mamoru Mimura

Publication date: 1976

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(76)90048-7

Mathematics Subject Classification ID

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) Applications of Eilenberg-Moore spectral sequences (57T35)

Related Items (8)

Computation of the cohomology rings of Kac-Moody groups, their flag manifolds and classifying spaces ⋮ Schubert calculus and the Hopf algebra structures of exceptional Lie groups ⋮ Chern classes and generators ⋮ Homotopy types of gauge groups over Riemann surfaces ⋮ On the Stiefel-Whitney class of the adjoint representation of \(E_8\) ⋮ Cohomology of a Hopf algebra over \(Z_ 2\) ⋮ The squaring operations in the Eilenberg-Moore spectral sequence and the classifying space of an associative H-space. I ⋮ Parallelizability of homogeneous spaces. II

Cites Work

• Construction of universal bundles. II
• Cohomology mod 2 of the classifying space of the compact connected Lie group of type E\(_8\)
• Exceptional Lie groups and Steenrod squares
• The cohomology of quotients of classical groups
• Torsion in Lie groups and related spaces
• The mod 2 cohomology rings of extra-special 2-groups and the spinor groups
• The spectrum of an equivariant cohomology ring. I. II
• Les sous-groupes fermes de rang maximum des groupes de Lie clos
• Sur certaines sous-groupes des groupes de Lie compacts
• The cohomology of classifying spaces of 𝐻-spaces
• Cohomology Mod $2$ of the compact exceptional group $E_8$
• A remark on resolutions for Hopf algebras
• On the Cohomology of Some Hopf Algebras
• Sur L'Homologie et la Cohomologie des Groupes de Lie Compacts Connexes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the cohomology mod 2 of the classifying space of the 1-connected exceptional Lie group \(E_7\)