Classification of Lie algebras with naturally graded quasi-filiform nilradicals
type: Item
instance of: scholarly article
title: Classification of Lie algebras with naturally graded quasi-filiform nilradicals
zbMATH Open document ID: 1275.17023
author: José María Ancochea Bermúdez
author: Lucía García Vergnolle
author: Rutwig Campoamor Stursberg
published in: Journal of Geometry and Physics
publication date: 2011-10-11T00:00:00Z
review text: The paper under review presents a classification for the complex Lie algebras of finite dimension \(n\), whose nilradical is naturally graded and has the characteristic sequence \((n-2,1,1)\). Various properties can be read off that classification, as for instance the solvability property of almost all the Lie algebras under consideration.
reviewed by: Daniel Beltiţă
Mathematics Subject Classification ID: 17B30
Mathematics Subject Classification ID: 17B05
zbMATH DE Number: 5956431
zbMATH Keywords: solvable Lie algebra
zbMATH Keywords: extension
zbMATH Keywords: characteristic sequence
MaRDI profile type: Publication
Wikidata QID: Q58324955
full work available at URL: j.geomphys.2011.06.015
OpenAlex ID: W2023715348
cites work: Q3718881
cites work: Q5517754
cites work: Q5596303
cites work: Q5550467
cites work: Solvable Lie algebras of dimension six
cites work: On Lie gradings. I
cites work: On Lie gradings. II
cites work: Q5551287
cites work: Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes
cites work: Solvable Lie algebras with naturally graded nilradicals and their invariants
cites work: A class of solvable Lie algebras and their Casimir invariants
cites work: Naturally graded quasi-filiform Lie algebras
cites work: On quasi-filiform Lie algebras admitting a torus of derivations
cites work: Solvable Lie Algebras with Quasifiliform Nilradicals
cites work: Q5840228
cites work: Q5602167
cites work: Some Remarks Concerning the Invariants of Rank One Solvable Real Lie Algebras
DOI: 10.1016/J.GEOMPHYS.2011.06.015
description: scientific article; zbMATH DE number 5956431