Low-dimensional filiform Lie algebras over finite fields

Falcón Ganfornina, Óscar Jesús; Núñez Valdés, Juan; Pacheco Martínez, Ana María; Villar Liñán, María Trinidad

Ponencia

dc.contributor.editor	Vasek, Vladimir	es
dc.contributor.editor	Shmaliy, Yuriy S.	es
dc.contributor.editor	Trcek, Denis	es
dc.contributor.editor	Kobayashi, Nobuhiko P.	es
dc.contributor.editor	Choras, Ryszard S.	es
dc.contributor.editor	Klos, Zbigniew	es
dc.creator	Falcón Ganfornina, Óscar Jesús	es
dc.creator	Núñez Valdés, Juan	es
dc.creator	Pacheco Martínez, Ana María	es
dc.creator	Villar Liñán, María Trinidad	es
dc.date.accessioned	2017-05-10T11:19:18Z
dc.date.available	2017-05-10T11:19:18Z
dc.date.issued	2011
dc.identifier.citation	Falcón Ganfornina, Ó.J., Núñez Valdés, J., Pacheco Martínez, A.M. y Villar Liñán, M.T. (2011). Low-dimensional filiform Lie algebras over finite fields. En International Conference on Applied and Computational Mathematics (ICACM '11) (66-71), Lanzarote: World Scientific and Engineering Academy and Society Press.
dc.identifier.isbn	9781618040022	es
dc.identifier.issn	2223-2877	es
dc.identifier.uri	http://hdl.handle.net/11441/59596
dc.description.abstract	In this paper we use some objects of Graph Theory to classify low-dimensional filiform Lie algebras over finite fields. The idea lies in the representation of each Lie algebra by a certain type of graphs. Then, some properties on Graph Theory make easier to classify the algebras. As results, which can be applied in several branches of Physics or Engineering, for instance, we find out that there exist, up to isomorphism, six 6-dimensional filiform Lie algebras over Z/pZ, for p = 2, 3, 5.	es
dc.description.sponsorship	Plan Andaluz de Investigación (Junta de Andalucía)	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	World Scientific and Engineering Academy and Society Press	es
dc.relation.ispartof	International Conference on Applied and Computational Mathematics (ICACM '11) (2011), pp. 66-71.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Bipartite graph	es
dc.subject	Adjacency matrix	es
dc.subject	Classification	es
dc.subject	Filiform Lie algebra	es
dc.subject	Finite fields	es
dc.subject	Applications to Physics	es
dc.title	Low-dimensional filiform Lie algebras over finite fields	es
dc.type	info:eu-repo/semantics/conferenceObject	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.contributor.affiliation	Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)	es
dc.relation.projectID	FQM-326	es
dc.relation.projectID	FQM-296	es
dc.relation.projectID	FQM-164	es
dc.relation.publisherversion	http://www.wseas.us/e-library/conferences/2011/Lanzarote/MATH/MATH-10.pdf	es
dc.contributor.group	Universidad de Sevilla. FQM326: Geometría Diferencial y Teoría de Lie	es
dc.contributor.group	Universidad de Sevilla. TIC245: Topological Pattern Analysis and Recognition	es
dc.contributor.group	Universidad de Sevilla. FQM164: Matemática Discreta: Teoría de Grafos y Geometría Computacional	es
idus.format.extent	6 p.	es
dc.publication.initialPage	66	es
dc.publication.endPage	71	es
dc.eventtitle	International Conference on Applied and Computational Mathematics (ICACM '11)	es
dc.eventinstitution	Lanzarote	es
dc.contributor.funder	Junta de Andalucía

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