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000170271 0247_ $$2doi$$a10.1007/s13398-026-01851-3
000170271 0248_ $$2sideral$$a148815
000170271 037__ $$aART-2026-148815
000170271 041__ $$aeng
000170271 100__ $$aCunha, Isabel
000170271 245__ $$aJ-ternary algebras, structurable algebras, and Lie superalgebras
000170271 260__ $$c2026
000170271 5060_ $$aAccess copy available to the general public$$fUnrestricted
000170271 5203_ $$aA 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.
000170271 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E22-20R$$9info:eu-repo/grantAgreement/ES/MCINN/PID2021-123461NB-C21
000170271 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttps://creativecommons.org/licenses/by/4.0/deed.es
000170271 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000170271 700__ $$0(orcid)0000-0002-6497-2162$$aElduque, Alberto$$uUniversidad de Zaragoza
000170271 7102_ $$12006$$2005$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Algebra
000170271 773__ $$g120, 3 (2026), [39 pp.]$$pRev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat.$$tRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas$$x1578-7303
000170271 8564_ $$s606551$$uhttps://zaguan.unizar.es/record/170271/files/texto_completo.pdf$$yVersión publicada
000170271 8564_ $$s1431714$$uhttps://zaguan.unizar.es/record/170271/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000170271 909CO $$ooai:zaguan.unizar.es:170271$$particulos$$pdriver
000170271 951__ $$a2026-04-10-13:45:35
000170271 980__ $$aARTICLE