An irreducible component of the variety of Leibniz algebras having trivial intersection with the variety of Lie algebras
| dc.contributor.author | Ancochea Bermúdez, José María | |
| dc.contributor.author | Campoamor Stursberg, Otto-Rudwig | |
| dc.date.accessioned | 2023-06-19T13:27:34Z | |
| dc.date.available | 2023-06-19T13:27:34Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | We show the rigidity of a parameterized family of solvable Leibniz non-Lie algebras in arbitrary dimension, obtaining an irreducible component in the variety L epsilon(n) that does not intersect the variety of Lie algebras non-trivially. Moreover it is shown that for any n >= 3 the Abelian Lie algebra a(n) appears as the algebra of derivations of a solvable Leibniz algebra. | en |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Ministerio de Ciencia, Innovación y Universidades (España) | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/28165 | |
| dc.identifier.doi | 10.1080/03081087.2013.833614 | |
| dc.identifier.issn | 0308-1087 | |
| dc.identifier.officialurl | https//doi.org/10.1080/03081087.2013.833614 | |
| dc.identifier.relatedurl | http://www.tandfonline.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/33761 | |
| dc.issue.number | 11 | |
| dc.journal.title | Linear & Multilinear Algebra | |
| dc.page.final | 1459 | |
| dc.page.initial | 1450 | |
| dc.publisher | Taylor & Francis | |
| dc.relation.projectID | MTM2010-18556 | |
| dc.rights.accessRights | metadata only access | |
| dc.subject.cdu | 512.5 | |
| dc.subject.keyword | Leibniz algebra | |
| dc.subject.keyword | Rigidity | |
| dc.subject.keyword | Irreducible component | |
| dc.subject.keyword | Derivations | |
| dc.subject.ucm | Álgebra | |
| dc.subject.unesco | 1201 Álgebra | |
| dc.title | An irreducible component of the variety of Leibniz algebras having trivial intersection with the variety of Lie algebras | en |
| dc.type | journal article | |
| dc.volume.number | 62 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 8afd7745-e428-4a77-b1ff-813045b673fd | |
| relation.isAuthorOfPublication | 72801982-9f3c-4db0-b765-6e7b4aa2221b | |
| relation.isAuthorOfPublication.latestForDiscovery | 8afd7745-e428-4a77-b1ff-813045b673fd |