Computational algorithm for obtaining Abelian subalgebras in Lie algebras

Ceballos González, Manuel; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco

Artículo

dc.creator	Ceballos González, Manuel	es
dc.creator	Núñez Valdés, Juan	es
dc.creator	Tenorio Villalón, Ángel Francisco	es
dc.date.accessioned	2016-10-24T07:30:56Z
dc.date.available	2016-10-24T07:30:56Z
dc.date.issued	2009
dc.identifier.citation	Ceballos González, M., Núñez Valdés, J. y Tenorio Villalón, Á.F. (2009). Computational algorithm for obtaining Abelian subalgebras in Lie algebras. International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, 3 (10), 879-883.
dc.identifier.issn	2010-376X	es
dc.identifier.issn	2010-3778	es
dc.identifier.uri	http://hdl.handle.net/11441/47966
dc.description.abstract	The set of all abelian subalgebras is computationally obtained for any given finite-dimensional Lie algebra, starting from the nonzero brackets in its law. More concretely, an algorithm is described and implemented to compute a basis for each nontrivial abelian subalgebra with the help of the symbolic computation package MAPLE. Finally, it is also shown a brief computational study for this implementation, considering both the computing time and the used memory.	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	World Academy of Science, Engineering and Technology	es
dc.relation.ispartof	International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, 3 (10), 879-883.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Solvable Lie algebra	es
dc.subject	Maximal abelian dimension	es
dc.subject	Algorithm	es
dc.title	Computational algorithm for obtaining Abelian subalgebras in 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://waset.org/publications/11417/computational-algorithm-for-obtaining-abelian-subalgebras-in-lie-algebras	es
dc.contributor.group	Universidad de Sevilla. FQM326: Geometria Diferencial y Teoria de Lie	es
idus.format.extent	5 p.	es
dc.journaltitle	International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering	es
dc.publication.volumen	3	es
dc.publication.issue	10	es
dc.publication.initialPage	879	es
dc.publication.endPage	883	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/47966

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