dc.creator | Ceballos González, Manuel | es |
dc.creator | Núñez Valdés, Juan | es |
dc.creator | Tenorio Villalón, Ángel Francisco | es |
dc.date.accessioned | 2016-12-05T07:23:45Z | |
dc.date.available | 2016-12-05T07:23:45Z | |
dc.date.issued | 2016 | |
dc.identifier.citation | Ceballos González, M., Núñez Valdés, J. y Tenorio Villalón, Á.F. (2016). Computing abelian subalgebras for linear algebras of upper-triangular matrices from an algorithmic perspective. Analele Stiintifice ale Universitatii Ovidius Constanta. Seria Matematica, 24 (2), 137-148. | |
dc.identifier.issn | 1224-1784 | es |
dc.identifier.issn | 1844-0835 | es |
dc.identifier.uri | http://hdl.handle.net/11441/49657 | |
dc.description.abstract | In this paper, the maximal abelian dimension is algorithmically and
computationally studied for the Lie algebra hn, of n×n upper-triangular
matrices. More concretely, we define an algorithm to compute abelian
subalgebras of hn besides programming its implementation with the
symbolic computation package MAPLE. The algorithm returns a maximal
abelian subalgebra of hn and, hence, its maximal abelian dimension.
The order n of the matrices hn is the unique input needed to obtain
these subalgebras. Finally, a computational study of the algorithm is
presented and we explain and comment some suggestions and comments
related to how it works. | 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), 137-148. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Maximal abelian dimension | es |
dc.subject | Solvable Lie algebra | es |
dc.subject | Algorithm | es |
dc.title | Computing abelian subalgebras for linear algebras of upper-triangular matrices from an algorithmic perspective | 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://www.anstuocmath.ro/mathematics//ANALE2016VOL2/Ceballos_M.__Nunez_J.__Tenorio_A.F..pdf | es |
dc.identifier.doi | 10.1515/auom-2016-0032 | es |
dc.contributor.group | Universidad de Sevilla. FQM326: Geometría Diferencial y Teoría de Lie | es |
idus.format.extent | 12 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 | 137 | es |
dc.publication.endPage | 148 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/49657 | |