On a complete rigid Leibniz non-Lie algebra in arbitrary dimension
type: Item
instance of: scholarly article
title: On a complete rigid Leibniz non-Lie algebra in arbitrary dimension
zbMATH Open document ID: 1300.17001
author: José María Ancochea Bermúdez
author: Rutwig Campoamor Stursberg
published in: Linear Algebra and its Applications
publication date: 2013-04-12T00:00:00Z
review text: Leibniz algebras present a natural (non anti-symmetric) generalization of Lie algebras. In the present paper the authors give an example of a rigid Leibniz non-Lie algebra in arbitrary dimension \(n \geq 3\) with the additional property that the nilradical (i.e. the maximal nilpotent ideal) is also rigid in the variety of nilpotent Leibniz algebras. Further they show that this algebra is complete (i.e., any derivation of this algebra is inner), and analyze the possible contractions of this Leibniz algebra onto Lie algebras.
Mathematics Subject Classification ID: 17A32
zbMATH DE Number: 6153417
zbMATH Keywords: Leibniz algebra
zbMATH Keywords: rigid
zbMATH Keywords: contractions
zbMATH Keywords: deformations
zbMATH Keywords: complete
Wikidata QID: Q58324939
reviewed by: Sh. A. Ayupov
MaRDI profile type: Publication
full work available at URL: j.laa.2012.12.048
OpenAlex ID: W2062429976
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DOI: 10.1016/J.LAA.2012.12.048
description: scientific article; zbMATH DE number 6153417