On formality of a class of compact homogeneous spaces
type: Item
instance of: scholarly article
title: On formality of a class of compact homogeneous spaces
zbMATH Open document ID: 1021.55007
DOI: 10.1023/A:1020313930539
author: Zofia Stȩpień
published in: Geometriae Dedicata
publication date: 2002-12-15T00:00:00Z
review text: In the Sullivan theory of minimal models, recall that a space \(X\) is formal if its differential algebra of PL-forms, \(A_{\text{PL}}(X)\), has the same homotopy type as its rational cohomology, \(H(X;\mathbb{Q})\). In the paper under review, the author proves: ``Let \(G\) be a simple simply connected compact Lie group endowed with an automorphism \(\sigma\) of finite order, then the homogeneous space \(G/G^\sigma\) is formal, where \(G^\sigma\) is the subgroup of fixed points of \(\sigma\)''.
Mathematics Subject Classification ID: 55P62
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 1845445
zbMATH Keywords: formality
zbMATH Keywords: homogeneous spaces
reviewed by: Daniel Tanré
MaRDI profile type: Publication
full work available at URL: a:1020313930539
OpenAlex ID: W2913733525
description: scientific article; zbMATH DE number 1845445