Publicação
Short (SL2 × SL2)-structures on Lie algebras
| datacite.subject.fos | Ciências Naturais::Matemáticas | |
| dc.contributor.author | Beites, Patrícia Damas | |
| dc.contributor.author | Córdova Martínez, Alejandra Sarina | |
| dc.contributor.author | Cunha, Isabel | |
| dc.contributor.author | Elduque, Alberto | |
| dc.date.accessioned | 2026-01-20T11:56:12Z | |
| dc.date.available | 2026-01-20T11:56:12Z | |
| dc.date.issued | 2024-01-06 | |
| dc.description.abstract | S-structures on Lie algebras, introduced by Vinberg, represent a broad generalization of the notion of gradings by abelian groups. Gradings by, not necessarily reduced, root systems provide many examples of natural S-structures. Here we deal with a situation not covered by these gradings: the short (SL2 × SL2)-structures, where the reductive group is the simplest semisimple but not simple reductive group. The algebraic objects that coordinatize these structures are the J -ternary algebras of Allison, endowed with a nontrivial idempotent. | eng |
| dc.description.sponsorship | A.S. Córdova-Martínez and A. Elduque were supported by Grant PID2021-123461NB-C21, funded by MCIN/AEI/10.13039/501100011033 and by “ERDF A way of making Europe”. A.S. Córdova-Martínez was also supported by Grant S60_20R (Gobierno de Aragón, Grupo de investigación “Investigación en Educación Matemática”); and A. Elduque by Grant E22_20R (Gobierno de Aragón, Grupo de investigación “Álgebra y Geometría”). P.D. Beites and I. Cunha were supported by FCT (Fundação para a Ciência e a Tecnologia, Portugal), research project UIDB/00212/2020 of CMA-UBI (Centro de Matemática e Aplicações, Universidade da Beira Interior, Portugal). P.D. Beites was also supported by Grant PID2021-123461NB-C22, funded by MCIN/AEI/10.13039/501100011033 and by “ERDF A way of making Europe” (Spain). | |
| dc.identifier.citation | Beites, P.D., Córdova-Martínez, A.S., Cunha, I. et al. Short -structures on Lie algebras. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 118, 45 (2024). https://doi.org/10.1007/s13398-023-01541-4 | |
| dc.identifier.doi | 10.1007/s13398-023-01541-4 | |
| dc.identifier.eissn | 1579-1505 | |
| dc.identifier.issn | 1578-7303 | |
| dc.identifier.uri | http://hdl.handle.net/10400.6/19699 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Springer Nature | |
| dc.relation | Center of Mathematics and Applications of University of Beira Interior | |
| dc.relation.hasversion | https://link.springer.com/article/10.1007/s13398-023-01541-4#citeas | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | S-structures | |
| dc.subject | J -ternary álgebras | |
| dc.subject | Structurable algebras | |
| dc.title | Short (SL2 × SL2)-structures on Lie algebras | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Center of Mathematics and Applications of University of Beira Interior | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00212%2F2020/PT | |
| oaire.citation.issue | 45 | |
| oaire.citation.title | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | |
| oaire.citation.volume | 118 | |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |
| person.familyName | Beites | |
| person.familyName | Córdova Martínez | |
| person.familyName | Cunha | |
| person.familyName | Elduque | |
| person.givenName | Patrícia Damas | |
| person.givenName | Alejandra Sarina | |
| person.givenName | Isabel | |
| person.givenName | Alberto | |
| person.identifier.ciencia-id | 591A-8D9A-73CE | |
| person.identifier.ciencia-id | 9C17-04FB-3B7E | |
| person.identifier.ciencia-id | 5D18-3A79-8271 | |
| person.identifier.orcid | 0000-0003-0266-7055 | |
| person.identifier.orcid | 0000-0002-7578-9574 | |
| person.identifier.orcid | 0000-0002-7069-2941 | |
| person.identifier.orcid | 0000-0002-6497-2162 | |
| person.identifier.rid | K-5772-2017 | |
| person.identifier.scopus-author-id | 37041170800 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
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