dc.creator | Ceballos González, Manuel | es |
dc.creator | Towers, David A. | es |
dc.date.accessioned | 2016-06-22T10:19:13Z | |
dc.date.available | 2016-06-22T10:19:13Z | |
dc.date.issued | 2014-02 | |
dc.identifier.citation | Ceballos González, M. y Towers, D.A. (2014). On abelian subalgebras and ideals of maximal dimension in supersolvable Lie algebras. Journal of Pure and Applied Algebra, 218 (3), 497-503. | |
dc.identifier.issn | 0022-4049 | es |
dc.identifier.uri | http://hdl.handle.net/11441/42618 | |
dc.description.abstract | In this paper, the main objective is to compare the abelian subalgebras and ideals of maximal dimension for finite-dimensional supersolvable Lie algebras. We characterise the maximal abelian subalgebras of solvable Lie algebras and study solvable Lie algebras containing an abelian subalgebra of codimension 2. Finally, we prove that nilpotent Lie algebras with an abelian subalgebra of codimension 3 contain an abelian ideal with the same dimension, provided that the characteristic of the underlying field is not two. Throughout the paper, we also give several examples to clarify some results. | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Pure and Applied Algebra, 218 (3), 497-503. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Lie algebras | es |
dc.subject | abelian subalgebra | es |
dc.subject | abelian ideal | es |
dc.subject | solvable | es |
dc.subject | supersolvable | es |
dc.subject | nilpotent | es |
dc.title | On abelian subalgebras and ideals of maximal dimension in supersolvable Lie algebras | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Geometría y Topología | es |
dc.relation.projectID | MTM2010-19336 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.jpaa.2013.06.017 | |
dc.identifier.doi | 10.1016/j.jpaa.2013.06.017 | es |
dc.contributor.group | Universidad de Sevilla. FQM326: Geometria Diferencial y Teoria de Lie | es |
idus.format.extent | 16 p. | es |
dc.journaltitle | Journal of Pure and Applied Algebra | es |
dc.publication.volumen | 218 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 497 | es |
dc.publication.endPage | 503 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42618 | |
dc.identifier.sisius | 21013840 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación (MICIN). España | |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | |