On the cohomology of the 2-connected cover of the loop space of simple Lie groups

DOI10.2977/PRIMS/1195177850zbMath0633.57020OpenAlexW2065257817WikidataQ115224806 ScholiaQ115224806MaRDI QIDQ1096215

Akira Kono

Publication date: 1986

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/1195177850

zbMATH Keywords

Hopf algebraPoincaré series of loop spaces3-connected covercohomology ring of the loop space of a compact, connected Lie group

Mathematics Subject Classification ID

Loop spaces (55P35) Homology and cohomology of Lie groups (57T10) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05) Homology and cohomology of (H)-spaces (57T25)

Cites Work

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• Cohomology Mod $2$ of the compact exceptional group $E_8$
• Groupes de Lie et Puissances Reduites de Steenrod
• Sur L'Homologie et la Cohomologie des Groupes de Lie Compacts Connexes
• Topology of Lie groups and characteristic classes

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