dc.contributor.author | Casas Mirás, José Manuel | |
dc.contributor.author | García Martínez, Xabier | |
dc.date.accessioned | 2024-11-29T08:52:21Z | |
dc.date.available | 2024-11-29T08:52:21Z | |
dc.date.issued | 2020-03 | |
dc.identifier.citation | Journal of Pure and Applied Algebra, 224(3): 987-1008 (2020) | spa |
dc.identifier.issn | 00224049 | |
dc.identifier.uri | http://hdl.handle.net/11093/7907 | |
dc.description.abstract | In this paper we study the low dimensional cohomology groups of Hom-Lie algebras and their relation with derivations, abelian extensions and crossed modules. On one hand, we introduce the notion of α-abelian extensions and we obtain a five term exact sequence in cohomology. On the other hand, we study crossed modules of Hom-Lie algebras showing their equivalence with cat1-Hom-Lie algebras, and we introduce α-crossed modules to have a better understanding of the third cohomology grou | en |
dc.description.sponsorship | Agencia Estatal de Investigación | Ref. MTM2016-79661-P | spa |
dc.language.iso | eng | spa |
dc.publisher | Journal of Pure and Applied Algebra | spa |
dc.relation | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-79661-P/ES | |
dc.title | Abelian extensions and crossed modules of Hom-Lie algebras | en |
dc.type | article | spa |
dc.rights.accessRights | openAccess | spa |
dc.identifier.doi | 10.1016/j.jpaa.2019.06.018 | |
dc.identifier.editor | https://linkinghub.elsevier.com/retrieve/pii/S0022404919301641 | spa |
dc.publisher.departamento | Matemática aplicada I | spa |
dc.publisher.grupoinvestigacion | Matemáticas | spa |
dc.subject.unesco | 12 Matemáticas | spa |
dc.subject.unesco | 1201.09 Álgebra de Lie | spa |
dc.date.updated | 2024-11-28T16:16:08Z | |
dc.computerCitation | pub_title=Journal of Pure and Applied Algebra|volume=224|journal_number=3|start_pag=987|end_pag=1008 | spa |