On existence of invariant measures
type: Item
instance of: scholarly article
title: On existence of invariant measures
zbMATH Open document ID: 1256.43005
author: Vikram T. Aithal
author: Ravindra S. Kulkarni
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: The authors consider a Lie group \(G\), a closed subgroup \(H\) of \(G\) and study the question of the existence of a \(G\)-invariant measure on the homogeneous space \(G/H\). Using the structure theory, the authors obtain a necessary and sufficient condition that is different from the André Weil criterion for arbitrary locally compact groups.
reviewed by: Vladimir V. Peller
Mathematics Subject Classification ID: 43A99
Mathematics Subject Classification ID: 28C10
Mathematics Subject Classification ID: 22E99
zbMATH DE Number: 6107841
zbMATH Keywords: Lie groups
zbMATH Keywords: homogeneous spaces
zbMATH Keywords: invariant measure
MaRDI profile type: Publication
full work available at URL: s13226-012-0021-4
OpenAlex ID: W2088372323
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DOI: 10.1007/S13226-012-0021-4
description: scientific article; zbMATH DE number 6107841