On the representation radical of complex Lie groups
type: Item
instance of: scholarly article
title: On the representation radical of complex Lie groups
zbMATH Open document ID: 0861.22004
author: Dong Hoon Lee
author: T. S. Wu
published in: Journal of Algebra
publication date: 1996-04-24T00:00:00Z
review text: For a complex Lie group \(G\), the representation radical \(N(G)\) is defined as the intersection of the kernels of all finite dimensional semisimple analytic representations of \(G\). The authors study the connectedness of \(N(G)\) for a class of nonconnected complex Lie groups. They also prove, for the same class, that the algebraic kernel of \(G\) introduced in their previous work [ibid. 173, 166-179 (1995; Zbl 0833.22022)] is equal to \(N(G)H\), where \(H\) is any maximal reductive analytic subgroup of the identity component \(G_0\).
Mathematics Subject Classification ID: 22E10
zbMATH DE Number: 869814
zbMATH Keywords: complex Lie group
zbMATH Keywords: representation radical
zbMATH Keywords: semisimple analytic representations
zbMATH Keywords: algebraic kernel
reviewed by: Guy Roos
MaRDI profile type: Publication
full work available at URL: jabr.1996.0066
OpenAlex ID: W2013628609
Wikidata QID: Q115396113
DOI: 10.1006/JABR.1996.0066
description: scientific article; zbMATH DE number 869814