Quasi-filiform Lie algebras of great length
type: Item
instance of: scholarly article
title: Quasi-filiform Lie algebras of great length
zbMATH Open document ID: 1180.17003
author: Jose R. Gómez
author: A. Jiménez-Merchán
author: J. Reyes
published in: Journal of Algebra
publication date: 2008-10-06T00:00:00Z
review text: This is another incremental step in ongoing efforts to classify what is amenable to classification in the realm of nilpotent Lie algebras, i.e. filiform and close to them algebras. An \(n\)-dimensional Lie algebra is called quasi-filiform if its lower central series terminates exactly at the \((n-2)\)th step. The length of such algebra is the maximum of lengths of its \(\mathbb N\)-gradations. Here, graded quasi-filiform Lie algebras of finite dimension \(n \geq 15\) and length \(n-1\), are classified. There are \(22\) types of such algebras, some of then constitute parametric families. The paper consists, essentially, of long and cumbersome computations performed with the aid of Mathematica.
reviewed by: Pasha Zusmanovich
Mathematics Subject Classification ID: 17B30
Mathematics Subject Classification ID: 17-04
Mathematics Subject Classification ID: 17B70
zbMATH DE Number: 5349023
zbMATH Keywords: quasi-filiform Lie algebra
Wikidata QID: Q115351374
describes a project that uses: Mathematica
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2008.03.036
OpenAlex ID: W2071717751
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DOI: 10.1016/J.JALGEBRA.2008.03.036
description: scientific article; zbMATH DE number 5349023