dc.creator | Falcón Ganfornina, Óscar Jesús | es |
dc.creator | Falcón Ganfornina, Raúl Manuel | es |
dc.creator | Núñez Valdés, Juan | es |
dc.date.accessioned | 2016-10-24T06:59:49Z | |
dc.date.available | 2016-10-24T06:59:49Z | |
dc.date.issued | 2016 | |
dc.identifier.citation | Falcón Ganfornina, Ó.J., Falcón Ganfornina, R.M. y Núñez Valdés, J. (2016). Isomorphism and isotopism classes of filiform Lie algebras of dimension up to seven. Results in Mathematics, 1-16. | |
dc.identifier.issn | 1422-6383 | es |
dc.identifier.issn | 1420-9012 | es |
dc.identifier.uri | http://hdl.handle.net/11441/47961 | |
dc.description.abstract | Since the introduction of the concept of isotopism of algebras by Albert in 1942, a prolific literature on the subject has been developed for distinct types of algebras. Nevertheless, there barely exists any result on the problem of distributing Lie algebras into isotopism classes. The current
paper is a first step to deal with such a problem. Specifically, we define a new series of isotopism invariants and we determine explicitly the distribution
into isotopism classes of n-dimensional filiform Lie algebras, for n ≤ 7. We
also deal with the distribution of such algebras into isomorphism classes, for
which we confirm some known results and we prove that there exist p + 8
isomorphism classes of seven-dimensional filiform Lie algebras over the finite field Fp if p ≠ 2. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Results in Mathematics, 1-16. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Filiform Lie algebra | es |
dc.subject | Isotopism | es |
dc.subject | Isomorphism | es |
dc.title | Isomorphism and Isotopism Classes of Filiform Lie Algebras of Dimension up to Seven Over Finite Fields | 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 Matemática Aplicada I (ETSII) | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Geometría y Topología | es |
dc.relation.publisherversion | http://dx.doi.org/10.1007/s00025-016-0616-x | es |
dc.identifier.doi | 10.1007/s00025-016-0616-x | es |
dc.contributor.group | Universidad de Sevilla. FQM016: Códigos, Diseños, Criptografía y Optimización | es |
dc.contributor.group | Universidad de Sevilla. FQM326: Geometria Diferencial y Teoria de Lie | es |
idus.format.extent | 20 p. | es |
dc.journaltitle | Results in Mathematics | es |
dc.publication.initialPage | 1 | es |
dc.publication.endPage | 16 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/47961 | |