On the irreducible components of the variety of laws of nilpotent Lie algebras
type: Item
instance of: scholarly article
title: On the irreducible components of the variety of laws of nilpotent Lie algebras
zbMATH Open document ID: 0856.17004
DOI: 10.1016/0022-4049(95)00007-0
author: José María Ancochea Bermúdez
author: José Ramón Gómez-Martin
author: Gerardo Valeiras
author: Michel Goze
published in: Journal of Pure and Applied Algebra
publication date: 1996-05-19T00:00:00Z
review text: The irreducible components for the variety of complex nilpotent Lie algebras of dimension 8 are found. These components are the closure in the Zariski topology of the orbits of certain laws. The dimensions of these components are found. The case for dimension 7 was investigated by \textit{M. Goze} and \textit{J. M. Ancochea}-\textit{Bermudez} [J. Pure Appl. Algebra 77, 131-140 (1992; Zbl 0749.17007)].
reviewed by: Ernest L. Stitzinger
Mathematics Subject Classification ID: 17B30
zbMATH DE Number: 858629
zbMATH Keywords: irreducible components
zbMATH Keywords: variety of complex nilpotent Lie algebras of dimension 8
Wikidata QID: Q115364392
MaRDI profile type: Publication
full work available at URL: 0022-4049(95)00007-0
OpenAlex ID: W1981431155
cites work: On the varieties of nilpotent Lie algebras of dimension 7 and 8
cites work: Some nilpotent Lie algebras of even dimension
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description: scientific article; zbMATH DE number 858629