Real rigid solvable Lie algebras are not necessarily completely solvable
type: Item
instance of: scholarly article
title: Real rigid solvable Lie algebras are not necessarily completely solvable
zbMATH Open document ID: 1161.17005
author: Lucía García Vergnolle
author: José María Ancochea Bermúdez
author: Rutwig Campoamor Stursberg
published in: Linear Algebra and its Applications
publication date: 2006-12-07T00:00:00Z
review text: The authors show that a real rigid solvable Lie algebra is not necessarily completely solvable. They construct an example \(\mathfrak n\oplus \mathfrak t\) of minimal dimension where the exterior torus \(\mathfrak t\) is not formed by ad-semisimple derivations on \(\mathbb R\). They also study real forms of nilradicals of rigid solvable Lie algebras of dimension \(n\leq 7\) and give a classification of rigid solvable Lie algebras of dimension 8 over \(\mathbb R\) .
Mathematics Subject Classification ID: 17B30
zbMATH DE Number: 5078002
zbMATH Keywords: rigid solvable Lie algebras
zbMATH Keywords: complete solvability
zbMATH Keywords: real forms
reviewed by: Olaf Ninnemann
MaRDI profile type: Publication
full work available at URL: j.laa.2006.02.033
OpenAlex ID: W2026210668
Wikidata QID: Q115344916
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DOI: 10.1016/J.LAA.2006.02.033
description: scientific article; zbMATH DE number 5078002