The cohomology ring of the spaces of loops on Lie groups and homogeneous spaces
type: Item
instance of: scholarly article
title: The cohomology ring of the spaces of loops on Lie groups and homogeneous spaces
zbMATH Open document ID: 0806.57025
author: Katsuhiko Kuribayashi
published in: Pacific Journal of Mathematics
publication date: 1995-02-16T00:00:00Z
review text: The author computes the cohomology rings \(H^* (\Omega G;\mathbb{Z}/p)\) for all compact simple simply connected Lie groups \(G\) and all primes \(p\). Moreover, the cohomology rings of \(\Omega X\) for some interesting homogeneous spaces \(X\) are computed. The results are of course too complicated to summarize them here. They are, in some sense, the endpoint of a development begun by Bott in 1958.
Mathematics Subject Classification ID: 57T25
Mathematics Subject Classification ID: 57T10
Mathematics Subject Classification ID: 57T35
Mathematics Subject Classification ID: 57T15
zbMATH DE Number: 562517
zbMATH Keywords: loop spaces
zbMATH Keywords: cohomology rings
zbMATH Keywords: compact simple simply connected Lie groups
zbMATH Keywords: homogeneous spaces
reviewed by: Wilhelm Singhof
MaRDI profile type: Publication
full work available at URL: pjm.1994.163.361
OpenAlex ID: W2032461516
Wikidata QID: Q115230735
DOI: 10.2140/PJM.1994.163.361
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description: scientific article; zbMATH DE number 562517