170271 20260410165451.0 doi 10.1007/s13398-026-01851-3 sideral 148815 ART-2026-148815 eng Cunha, Isabel J-ternary algebras, structurable algebras, and Lie superalgebras 2026 A Lie superalgebra is attached to any finite-dimensional J -ternary algebra over an algebraically closed field of characteristic 3, using a process of semisimplification via tensor categories. Some of the exceptional simple Lie algebras, specific of this characteristic, are obtained in this way from J -ternary algebras coming from structurable algebras and, in particular, a new magic square of Lie superalgebras is constructed, with entries depending on a pair of composition algebras. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E22-20R info:eu-repo/grantAgreement/ES/MCINN/PID2021-123461NB-C21 info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Elduque, Alberto Universidad de Zaragoza (orcid)0000-0002-6497-2162 2006 005 Universidad de Zaragoza Dpto. Matemáticas Área Algebra 120, 3 (2026), [39 pp.] Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas 1578-7303 606551 http://zaguan.unizar.es/record/170271/files/texto_completo.pdf Versión publicada 1431714 http://zaguan.unizar.es/record/170271/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:170271 articulos driver 2026-04-10-13:45:35 ARTICLE