The rational cohomology of finite loop spaces
type: Item
instance of: scholarly article
title: The rational cohomology of finite loop spaces
zbMATH Open document ID: 0645.57024
DOI: 10.1016/0022-4049(88)90013-8
author: James P. Lin
published in: Journal of Pure and Applied Algebra
publication date: 1988-01-01T00:00:00Z
review text: Known theorems are combined to relate the rational cohomology of Lie groups and finite loop spaces. For example, if x is a finite loop space and rank \(\pi\) \({}_ 3(X)\leq 1\), then \(X_ 0\simeq G_ 0\) where G is a Lie group. The results are not new but the proof of the main theorem is efficient, following work of Aguadé. Elsewhere references are inadequate or inappropriate to the point that proofs appear incorrect; but the theorems are true.
reviewed by: J. R. Hubbuck
Mathematics Subject Classification ID: 57T10
Mathematics Subject Classification ID: 57T25
Mathematics Subject Classification ID: 55P45
zbMATH DE Number: 4052605
zbMATH Keywords: rational cohomology of Lie groups
zbMATH Keywords: finite loop spaces
MaRDI profile type: Publication
full work available at URL: 0022-4049(88)90013-8
OpenAlex ID: W2038337252
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description: scientific article; zbMATH DE number 4052605