On the cohomology of loop spaces of compact Lie groups

DOI10.1017/S0017089500005814zbMath0606.57025WikidataQ115336637 ScholiaQ115336637MaRDI QIDQ3744915

Howard L. Hiller

Publication date: 1985

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

hyperplane classcohomology of the loop spacecompact, simply-connected Lie groupdivided polynomial algebra

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Homology and cohomology of (H)-spaces (57T25)

Cites Work

• Unnamed Item
• The space of loops on a Lie group
• Exceptional Lie groups and Steenrod squares
• Finitely generated cohomology Hopf algebras
• On the homotopy groups of the classical groups
• Applications of the Theory of Morse to Symmetric Spaces
• A Bruhat decomposition for the loop space of a compact group: A new approach to results of Bott

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