A derivation HNN construction for Lie algebras
type: Item
instance of: scholarly article
title: A derivation HNN construction for Lie algebras
zbMATH Open document ID: 0930.17006
DOI: 10.1007/BF02773461
author: Alon Wasserman
published in: Israel Journal of Mathematics
publication date: 2000-02-15T00:00:00Z
review text: The author defines HNN extensions in Lie algebras where derivations of a Lie algebra become inner in the extension. Using this he shows for instance (Theorem 7.2): Every finite- or countable-dimensional Lie algebra \(A\) can be embedded in a Lie algebra \(H\) generated by two elements. If \(A\) has a presentation with \(n\) relations, so does \(H\).
reviewed by: Hermann Heineken
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 20E06
zbMATH DE Number: 1216486
zbMATH Keywords: two-generator embedding
zbMATH Keywords: Lie algebras
zbMATH Keywords: HNN extensions
zbMATH Keywords: derivations
MaRDI profile type: Publication
cites work: Almost finitely presented soluble groups
cites work: Q5665187
cites work: Q4300256
cites work: Q4145882
cites work: Q3134850
cites work: Q3341041
cites work: Q3689356
description: scientific article; zbMATH DE number 1216486