dc.creator | Ceballos González, Manuel | es |
dc.creator | Núñez Valdés, Juan | es |
dc.creator | Tenorio Villalón, Ángel Francisco | es |
dc.date.accessioned | 2017-02-02T07:16:03Z | |
dc.date.available | 2017-02-02T07:16:03Z | |
dc.date.issued | 2017-07 | |
dc.identifier.citation | Ceballos González, M., Núñez Valdés, J. y Tenorio Villalón, Á.F. (2017). Minimal faithful upper-triangular matrix representations for solvable Lie algebras. Journal of Computational and Applied Mathematics, 318, 279-292. | |
dc.identifier.issn | 0377-0427 | es |
dc.identifier.issn | 1879-1778 | es |
dc.identifier.uri | http://hdl.handle.net/11441/53484 | |
dc.description.abstract | A well-known result on Lie Theory states that every finite-dimensional
complex solvable Lie algebra can be represented as a matrix Lie algebra,
with upper-triangular square matrices as elements. However, this result does not specify which is the minimal order of the matrices involved in such representations. Hence, the main goal of this paper is to revisit and implement a method to compute both that minimal order and a matrix representative for a given solvable Lie algebra. As application of this procedure, we compute representatives for each solvable Lie algebra with dimension less than 6. | es |
dc.description.sponsorship | Ministerio de Economía, Industria y Competitividad | 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 Computational and Applied Mathematics, 318, 279-292. | |
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 | Faithful upper-triangular matrix representation | es |
dc.subject | Minimal representation | es |
dc.subject | Symbolic computation | es |
dc.subject | Non-numerical algorithm | es |
dc.title | Minimal faithful upper-triangular matrix representations for solvable 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 | info:eu-repo/grantAgreement/MINECO/MTM2013-40455-P | es |
dc.relation.publisherversion | http://ac.els-cdn.com/S0377042716304356/1-s2.0-S0377042716304356-main.pdf?_tid=c8e31350-e914-11e6-af83-00000aacb362&acdnat=1486018796_5f43097ad80393e7e281cbd1f7256e96 | es |
dc.identifier.doi | 10.1016/j.cam.2016.09.015 | es |
dc.contributor.group | Universidad de Sevilla. FQM326: Geometría Diferencial y Teoría de Lie | es |
idus.format.extent | 19 p. | es |
dc.journaltitle | Journal of Computational and Applied Mathematics | es |
dc.publication.volumen | 318 | es |
dc.publication.initialPage | 279 | es |
dc.publication.endPage | 292 | es |
dc.contributor.funder | Ministerio de Economia, Industria y Competitividad (MINECO). España | |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | |