dc.creator | Falcón Ganfornina, Óscar Jesús | es |
dc.creator | Falcón Ganfornina, Raúl Manuel | es |
dc.creator | Núñez Valdés, Juan | es |
dc.date.accessioned | 2016-09-07T10:14:38Z | |
dc.date.available | 2016-09-07T10:14:38Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Falcón Ganfornina, O.J., Falcón Ganfornina, R.M. y Núñez Valdés, J. (2016). Isotopism and isomorphism classes of certain Lie algebras over finite fields. Results in Mathematics, 1-17. | |
dc.identifier.issn | 1422-6383 | es |
dc.identifier.issn | 1420-9012 | es |
dc.identifier.uri | http://hdl.handle.net/11441/44770 | |
dc.description.abstract | In the current paper, we study the distribution into isotopism and isomorphism classes of the relevant family FpnFnp of Lie algebras of basis {e1,…,en}{e1,…,en} and nonzero brackets [ei,en]∈⟨e1,…,en−1⟩[ei,en]∈⟨e1,…,en−1⟩ over a finite field FpFp , with p prime. At this end we first introduce the concept of the structure tuple of a Lie algebra and specifically prove that there exist n isotopism classes in FpnFnp and three families of isomorphism classes depending on the first component of their structure tuple. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Results in Mathematics, 1-17. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Lie algebra | es |
dc.subject | Isotopism | es |
dc.subject | Isomorphism | es |
dc.title | Isotopism and isomorphism classes of certain Lie algebras 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://download.springer.com/static/pdf/615/art%253A10.1007%252Fs00025-015-0502-y.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs00025-015-0502-y&token2=exp=1473244103~acl=%2Fstatic%2Fpdf%2F615%2Fart%25253A10.1007%25252Fs00025-015-0502-y.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs00025-015-0502-y*~hmac=e9edc2877426f74cc739f6a20bd3a4d8fc95e1970808a36b273ad50aec18d9de | es |
dc.identifier.doi | 10.1007/s00025-015-0502-y | 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 | 15 p. | es |
dc.journaltitle | Results in Mathematics | es |
dc.publication.initialPage | 1 | es |
dc.publication.endPage | 17 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/44770 | |