The mod 2 cohomology of the exceptional groups

DOI10.1016/0166-8641(87)90006-XzbMath0617.57024MaRDI QIDQ1822104

James P. Lin

Publication date: 1987

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

Hopf algebraSteenrod algebrasimply connected finite H-spacemod 2 Pontryagin ringrational homotopy type of exceptional Lie groups

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Steenrod algebra (55S10) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05) Secondary and higher cohomology operations in algebraic topology (55S20) Homology and cohomology of (H)-spaces (57T25)

Related Items (1)

Homotopy commutative obstructions for liftings

Cites Work

• The vanishing of Steenrod squares on H-spaces
• Two torsion and the loop space conjecture
• On the cohomology mod 2 of \(E_ 8\)
• On the Hopf algebra structure of the mod 2 cohomology of a finite H- space
• Exceptional Lie groups and Steenrod squares
• Steenrod squares and \(H\)-spaces
• Steenrod connections and connectivity in 𝐻-spaces
• Higher Order Operations in the Mod 2 Cohomology of Finite H-Spaces
• Cohomology Mod $2$ of the compact exceptional group $E_8$
• On Differential Hopf Algebras
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