Naturally graded \((n-3)\)-filiform Leibniz algebras
type: Item
instance of: scholarly article
title: Naturally graded \((n-3)\)-filiform Leibniz algebras
zbMATH Open document ID: 1202.17003
author: Luisa M. Camacho
author: Jose R. Gómez
author: B. A. Omirov
published in: Linear Algebra and its Applications
publication date: 2010-06-10T00:00:00Z
review text: The classification of all Leibniz algebras of any dimension is a very difficult task, so this problem can not be attacked in general, but must be attacked by parts. This work is a part of a series of papers in which the authors classify certain types of Leibniz algebras. In this case, they describe the naturally graded \((n-3)\)-filiform Leibniz algebras.
reviewed by: Manuel Avelino Insua Hermo
Mathematics Subject Classification ID: 17A32
Mathematics Subject Classification ID: 17A36
Mathematics Subject Classification ID: 17A60
zbMATH DE Number: 5719627
zbMATH Keywords: Lie algebra
zbMATH Keywords: Leibniz algebra
zbMATH Keywords: nilpotence
zbMATH Keywords: natural gradation
zbMATH Keywords: characteristic sequence
zbMATH Keywords: \(p\)-filiformicity
Wikidata QID: Q123266706
MaRDI profile type: Publication
full work available at URL: j.laa.2010.03.012
OpenAlex ID: W2015312212
cites work: Q4406613
cites work: Q3023623
cites work: Naturally Graded 2-Filiform Leibniz Algebras
cites work: The Classification of Naturally Gradedp-Filiform Leibniz Algebras
cites work: Non-abelian Tensor Product of Leibniz Algebras and an Exact Sequence in Leibniz Homology
cites work: Q4783528
cites work: FACTOR-COMPLEX FOR LEIBNIZ COHOMOLOGY
cites work: Versal Deformations of Leibniz Algebras
cites work: Naturally graded quasi-filiform Lie algebras
cites work: Q4875318
cites work: A noncommutative version of Lie algebras: Leibniz algebras
cites work: Leibniz representations of Lie algebras
cites work: Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes
DOI: 10.1016/J.LAA.2010.03.012
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description: scientific article; zbMATH DE number 5719627