Complex filiform Lie algebras of dimension 11.
type: Item
instance of: scholarly article
title: Complex filiform Lie algebras of dimension 11.
zbMATH Open document ID: 1048.17007
DOI: 10.1016/S0096-3003(02)00280-1
author: Luis Boza
author: E. M. Fedriani
author: Juan Núñez Valdés
published in: Applied Mathematics and Computation
publication date: 2003-09-15T00:00:00Z
review text: A classification of complex filiform Lie algebras of dimension \(\leq11\) was published by \textit{J.R.~Gómez, A.~Jimenéz-Merchán} and \textit{Y.~Khakimdjanov} [J. Pure Appl. Algebra 130, No.2, 133-158 (1998; Zbl 0929.17004)]. In the paper under review, the authors use a different method and succeed in exhibiting a more explicit list of all 11-dimensional complex filiform Lie algebras. The list actually consists of 188~families of algebras, most of the families depending on several complex parameters.
reviewed by: Daniel Beltiţă
Mathematics Subject Classification ID: 17B30
Mathematics Subject Classification ID: 17B05
zbMATH DE Number: 1981480
zbMATH Keywords: filiform Lie algebra
zbMATH Keywords: isomorphism
MaRDI profile type: Publication
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full work available at URL: s0096-3003(02)00280-1
OpenAlex ID: W2025035558
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description: scientific article; zbMATH DE number 1981480