Homogeneous spaces generated by a group of automorphisms of a Lie group
type: Item
instance of: scholarly article
title: Homogeneous spaces generated by a group of automorphisms of a Lie group
zbMATH Open document ID: 0571.53032
DOI: 10.1007/BF02105052
author: S. V. Vedernikov
published in: Journal of Soviet Mathematics
publication date: 1985-01-01T00:00:00Z
review text: This paper presents fundamental results for the theory of homogeneous spaces generated by a pair (G,\(\Gamma)\), where G is a Lie group, and \(\Gamma\) is a finite Abelian group of automorphisms of the Lie group G. These spaces constitute a generalization of the so-called (G,\(\Phi)\)- spaces which in turn generalize the symmetric spaces. For (G,\(\Phi)\)- spaces the reader is referred to \textit{V. I. Vedernikov} [Uch. Zap., Kazan Gos. Univ. 125, No.1, 7-59 (1965; Zbl 0188.543)] and to \textit{J. A. Wolf} and \textit{A. Gray} [J. Differ. Geom. 2, 115-159 (1968; Zbl 0182.247)].
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 53C35
zbMATH DE Number: 3911218
zbMATH Keywords: homogeneous spaces
zbMATH Keywords: Lie group
zbMATH Keywords: (G,\(\Phi \) )-spaces
reviewed by: Valentin Boju
MaRDI profile type: Publication
Wikidata QID: Q115392776
cites work: Q4188390
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cites work: Homogeneous spaces defined by Lie group automorphisms. I
full work available at URL: https://doi.org/10.1007/bf02105052
OpenAlex ID: W2000539353
description: scientific article; zbMATH DE number 3911218