On the centre of a transitive semisimple Lie group
type: Item
instance of: scholarly article
title: On the centre of a transitive semisimple Lie group
zbMATH Open document ID: 0685.57023
DOI: 10.1007/BF00054574
published in: Annals of Global Analysis and Geometry
publication date: 1988-01-01T00:00:00Z
review text: The paper deals with the study of the connected semisimple Lie groups acting transitively and effectively on a simply connected compact homogeneous manifold or a noncompact homogeneous manifold with two ends. The author establishes several results about the order and the rank of such a Lie group G. In the case that G acts effectively on a compact homogeneous space and \(| Z(G)| =\infty\) (the center of G is infinite), the Lie algebra of G is determined.
Mathematics Subject Classification ID: 57S20
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 22E46
Mathematics Subject Classification ID: 57S15
Mathematics Subject Classification ID: 22E60
zbMATH DE Number: 4122864
zbMATH Keywords: semisimple Lie groups acting transitively and effectively on a
zbMATH Keywords: simply connected compact homogeneous manifold
zbMATH Keywords: noncompact homogeneous manifold with two ends
zbMATH Keywords: order
zbMATH Keywords: rank
zbMATH Keywords: center
zbMATH Keywords: Lie algebra
zbMATH Keywords: semisimple Lie groups acting transitively and effectively on a simply connected compact homogeneous manifold
Wikidata QID: Q115395270
author: A. L. Onishchik
reviewed by: I. D. Albu
MaRDI profile type: Publication
cites work: Les bouts des espaces homogènes de groupes de Lie
cites work: Non-discrete uniform subgroups of semisimple Lie groups
cites work: Q3897665
description: scientific article; zbMATH DE number 4122864