J-ternary algebras, structurable algebras, and Lie superalgebras

Cunha, Isabel ; Elduque, Alberto (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

DOI: 10.1007/s13398-026-01851-3

Año: 2026

Publicado en: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas 120, 3 (2026), [39 pp.]
ISSN: 1578-7303

Financiación: info:eu-repo/grantAgreement/ES/DGA/E22-20R
Financiación: info:eu-repo/grantAgreement/ES/MCINN/PID2021-123461NB-C21

Tipo y forma: Article (Published version)

Área (Departamento): Área Algebra (Dpto. Matemáticas)