The rational cohomology of finite loop spaces

DOI10.1016/0022-4049(88)90013-8zbMath0645.57024OpenAlexW2038337252MaRDI QIDQ1103237

James P. Lin

Publication date: 1988

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(88)90013-8

zbMATH Keywords

finite loop spacesrational cohomology of Lie groups

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Homology and cohomology of Lie groups (57T10) Homology and cohomology of (H)-spaces (57T25)

Related Items

A finite loop space not rationally equivalent to a compact Lie group, The type of a torsion free finite loop space, Cup products and finite loop spaces

Cites Work

• A note on realizing polynomial algebras
• Torsion in H-spaces. I
• The realization of polynomial algebras as cohomology rings
• Finite H-spaces and algebras over the Steenrod algebra
• On \(\pi_ 3\) of finite dimensional \(H\)-spaces
• On π 3 of a Finite H-Space
• Generalized Cohomology Operations and H-Spaces of Low Rank
• On Differential Hopf Algebras