Thin Leibniz algebras
type: Item
instance of: scholarly article
title: Thin Leibniz algebras
zbMATH Open document ID: 1148.17002
published in: Mathematical Notes
publication date: 2007-05-21T00:00:00Z
review text: A Leibniz algebra \(L\) is said to be \textit{thin} if \(\dim(L^1/L^2)=2\) and \(\dim(L_i/L_{i+1})=1\) for all \(i\geq 2\). Here \(L^1=L\) and \(L^{n+1}=[L^n,L]\). The author proves that there are three classes of non-Lie thin Leibniz algebras.
Mathematics Subject Classification ID: 17A32
Mathematics Subject Classification ID: 17B30
zbMATH DE Number: 5155521
zbMATH Keywords: Leibniz algebras
zbMATH Keywords: filiform algebras
Wikidata QID: Q122950446
author: B. A. Omirov
reviewed by: Teimuraz Pirashvili
MaRDI profile type: Publication
full work available at URL: s11006-006-0133-4
OpenAlex ID: W2001867785
cites work: Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes
cites work: Q4406613
cites work: SUR UNE CLASSE D'ALGEBRES DE LIE DE DIMENSION INFINIE
cites work: On the cohomology of infinite dimensional nilpotent Lie algebras
cites work: Deformations of some infinite-dimensional Lie algebras
cites work: Q3720764
cites work: On the k-abelian filiform lie algebras
cites work: Varieties of Nilpotent Complex Leibniz Algebras of Dimension Less than Five
DOI: 10.1007/S11006-006-0133-4
description: scientific article; zbMATH DE number 5155521