Weakly exponential Lie groups
type: Item
instance of: scholarly article
title: Weakly exponential Lie groups
zbMATH Open document ID: 0851.22009
published in: Journal of Algebra
publication date: 1996-02-12T00:00:00Z
review text: The author lists all simple real Lie algebras for which there exist connected Lie groups with dense images of the exponential function, and describes the simple real Lie algebras for which the exponential functions of the associated simply connected Lie groups have dense images. A Lie group is weakly exponential if the image of its exponential function is dense. Methods which are useful in determining whether a reductive Lie group is weakly exponential or not are given. It is a classical results that complex and compact simple Lie groups are weakly exponential.
Mathematics Subject Classification ID: 22E05
Mathematics Subject Classification ID: 17B45
zbMATH DE Number: 843870
zbMATH Keywords: Lie algebras
zbMATH Keywords: Lie groups
zbMATH Keywords: exponential functions
zbMATH Keywords: dense images
zbMATH Keywords: weakly exponential
author: Karl-Hermann Neeb
reviewed by: A. K. Guts
MaRDI profile type: Publication
full work available at URL: jabr.1996.0015
OpenAlex ID: W2034756540
Wikidata QID: Q115396135
DOI: 10.1006/JABR.1996.0015
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description: scientific article; zbMATH DE number 843870