On spaces of finite volume
type: Item
instance of: scholarly article
title: On spaces of finite volume
zbMATH Open document ID: 0638.22007
author: A. N. Starkov
published in: Moscow University Mathematics Bulletin
publication date: 1986-01-01T00:00:00Z
review text: Let G be a connected Lie group, D a closed subgroup, such that G/D possesses a finite G-invariant measure. The author proves the following theorem conjectured by \textit{J. Brezin} and \textit{C. C. Moore} [Am. J. Math. 103, 571-613 (1981; Zbl 0506.22008)]: there exists a closed connected solvable subgroup \(A\subset G\) containing the radical of G such that A/D\(\cap A\) is compact and \(D\subset N_ G(A)\).
Mathematics Subject Classification ID: 22E15
Mathematics Subject Classification ID: 43A05
Mathematics Subject Classification ID: 57S20
zbMATH DE Number: 4040193
zbMATH Keywords: connected Lie group
zbMATH Keywords: finite G-invariant measure
zbMATH Keywords: closed connected solvable subgroup
zbMATH Keywords: radical
zbMATH Keywords: compact
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4040193