000147779 001__ 147779
000147779 005__ 20250923084440.0
000147779 0247_ $$2doi$$a10.1016/j.jalgebra.2024.12.006
000147779 0248_ $$2sideral$$a141334
000147779 037__ $$aART-2024-141334
000147779 041__ $$aeng
000147779 100__ $$0(orcid)0000-0002-6497-2162$$aElduque, Alberto$$uUniversidad de Zaragoza
000147779 245__ $$aFrom the Albert algebra to Kac's ten-dimensional Jordan superalgebra via tensor categories in characteristic 5
000147779 260__ $$c2024
000147779 5060_ $$aAccess copy available to the general public$$fUnrestricted
000147779 5203_ $$aKac’s ten-dimensional simple Jordan superalgebra over analgebraically closed field of characteristic 5 is obtained froma process of semisimplification, via tensor categories, fromthe exceptional simple Jordan algebra (or Albert algebra),together with a suitable order 5 automorphism.This explains McCrimmon’s ‘bizarre result’ asserting that,in characteristic 5, Kac’s superalgebra is a sort of ‘degree 3Jordan superalgebra’.As an outcome, the exceptional simple Lie superalgebrael(5; 5), specific of characteristic 5, is obtained from the simpleLie algebra of type E8 and an order 5 automorphism.In the process, precise recipes to obtain superalgebras fromalgebras in Rep Cp (or Rep αp), p > 2, are given
000147779 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E22-20R$$9info:eu-repo/grantAgreement/ES/MCINN/PID2021-123461NB-C21
000147779 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000147779 590__ $$a0.8$$b2024
000147779 592__ $$a1.029$$b2024
000147779 591__ $$aMATHEMATICS$$b193 / 483 = 0.4$$c2024$$dQ2$$eT2
000147779 593__ $$aAlgebra and Number Theory$$c2024$$dQ1
000147779 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000147779 700__ $$aEtingof, Pavel
000147779 700__ $$aKannan, Arun S.
000147779 7102_ $$12006$$2005$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Algebra
000147779 773__ $$g666 (2024), 387-414$$pJ. algebra$$tJournal of Algebra$$x0021-8693
000147779 8564_ $$s1059320$$uhttps://zaguan.unizar.es/record/147779/files/texto_completo.pdf$$yVersión publicada
000147779 8564_ $$s2460052$$uhttps://zaguan.unizar.es/record/147779/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
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000147779 951__ $$a2025-09-22-14:49:54
000147779 980__ $$aARTICLE