dc.creator | Falcón Ganfornina, Óscar Jesús | es |
dc.creator | Falcón Ganfornina, Raúl Manuel | es |
dc.creator | Núñez Valdés, Juan | es |
dc.creator | Pacheco Martínez, Ana María | es |
dc.creator | Villar Liñán, María Trinidad | es |
dc.date.accessioned | 2016-09-21T12:17:57Z | |
dc.date.available | 2016-09-21T12:17:57Z | |
dc.date.issued | 2016 | |
dc.identifier.citation | Falcón Ganfornina, Ó.J., Falcón Ganfornina, R.M., Núñez Valdés, J., Pacheco Martínez, A.M. y Villar Liñán, M.T. (2016). Classification of filiform Lie algebras up to dimension 7 over finite fields. Analele Stiintifice ale Universitatii Ovidius Constanta : Seria Matematica, 24 (2), 185-204. | |
dc.identifier.issn | 1224-1784 | es |
dc.identifier.issn | 1844-0835 | es |
dc.identifier.uri | http://hdl.handle.net/11441/45213 | |
dc.description.abstract | This paper tries to develop a recent research which consists in using
Discrete Mathematics as a tool in the study of the problem of the
classification of Lie algebras in general, dealing in this case with filiform
Lie algebras up to dimension 7 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 main results, we find out that there exist, up to isomorphism, six, five and five 6-dimensional filiform Lie algebras and fifteen, eleven and fifteen 7-dimensional ones, respectively, over Z/pZ, for p = 2, 3, 5. In any case, the main interest of the paper is not the computations itself but both to provide new strategies to find out properties of Lie algebras and to exemplify a suitable technique to be used in classifications for larger dimensions. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Ovidius University | es |
dc.relation.ispartof | Analele Stiintifice ale Universitatii Ovidius Constanta : Seria Matematica, 24 (2), 185-204. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Graphs as a tool | es |
dc.subject | Classification | es |
dc.subject | Filiform Lie algebra | es |
dc.subject | Finite fields | es |
dc.title | Classification of filiform Lie algebras up to dimension 7 over finite fields | es |
dc.type | info:eu-repo/semantics/article | es |
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 Matemática Aplicada I (ETSII) | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Geometría y Topología | es |
dc.relation.publisherversion | https://doi.org/10.1515/auom-2016-0036 | es |
dc.identifier.doi | 10.1515/auom-2016-0036 | es |
idus.format.extent | 20 p. | es |
dc.journaltitle | Analele Stiintifice ale Universitatii Ovidius Constanta : Seria Matematica | es |
dc.publication.volumen | 24 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 185 | es |
dc.publication.endPage | 204 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/45213 | |