A constructive method to determine the variety of filiform Lie algebras

Echarte Reula, Francisco Javier; Márquez García, María del Carmen; Núñez Valdés, Juan

doi:10.1007/s10587-006-0094-5

Artículo

dc.creator	Echarte Reula, Francisco Javier	es
dc.creator	Márquez García, María del Carmen	es
dc.creator	Núñez Valdés, Juan	es
dc.date.accessioned	2016-05-27T09:08:26Z
dc.date.available	2016-05-27T09:08:26Z
dc.date.issued	2006-12
dc.identifier.citation	Echarte Reula, F.J., Márquez García, M.d.C. y Núñez Valdés, J. (2006). A constructive method to determine the variety of filiform Lie algebras. Czechoslovak Mathematical Journal, 56 (4), 1281-1299.
dc.identifier.issn	0011-4642	es
dc.identifier.issn	1572-9141	es
dc.identifier.uri	http://hdl.handle.net/11441/41610
dc.description.abstract	In this paper we use cohomology of Lie algebras to study the variety of laws associated with filiform Lie algebras of a given dimension. As the main result, we describe a constructive way to find a small set of polynomials which define this variety. It allows to improve previous results related with the cardinal of this set. We have also computed explicitly these polynomials in the case of dimensions 11 and 12.	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	Institute of Mathematics, Czech Academy of Sciences	es
dc.relation.ispartof	Czechoslovak Mathematical Journal, 56 (4), 1281-1299.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	cohomology of nilpotent Lie algebras	es
dc.subject	graded filiform Lie algebras	es
dc.subject	variety of laws of filiform Lie algebras	es
dc.subject	irreducible component	es
dc.subject	algorithm	es
dc.title	A constructive method to determine the variety of filiform Lie algebras	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/publishedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Geometría y Topología	es
dc.relation.publisherversion	http://dx.doi.org/10.1007/s10587-006-0094-5
dc.identifier.doi	10.1007/s10587-006-0094-5
idus.format.extent	19 p.	es
dc.journaltitle	Czechoslovak Mathematical Journal	es
dc.publication.volumen	56	es
dc.publication.issue	4	es
dc.publication.initialPage	1281	es
dc.publication.endPage	1299	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/41610

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