The mod 2 homology of the space of loops on the exceptional Lie group

DOI10.1017/S0308210500018667zbMath0677.55008OpenAlexW2024931661WikidataQ115335901 ScholiaQ115335901MaRDI QIDQ3833271

Akira Kono, Kazumoto Kozima

Publication date: 1989

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500018667

zbMATH Keywords

spectral sequencesHopf algebradual Steenrod algebraconnected coveringsconnected, simply connected, exceptional, simple Lie groups

Mathematics Subject Classification ID

Loop spaces (55P35) Homology and cohomology of (H)-spaces (57T25)

Related Items

On Harper's mod pH-space of rank 2 ⋮ On the cohomology of the 2-connected cover of the loop space of simple Lie groups ⋮ Loop space homology associated with the mod 2 Dickson invariants

Cites Work

• Exceptional Lie groups and Steenrod squares
• On the structure of Hopf algebras
• Steenrod operations in the Eilenberg-Moore spectral sequence
• Groupes d'homotopie et classes de groupes abéliens
• An application of the Morse theory to the topology of Lie-groups
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• The cohomology of classifying spaces of 𝐻-spaces
• Cohomology Mod $2$ of the compact exceptional group $E_8$
• Homotopy Groups of Compact Lie Groups E₆, E₇ and E₈
• Sur L'Homologie et la Cohomologie des Groupes de Lie Compacts Connexes