From the Albert algebra to Kac's ten-dimensional Jordan superalgebra via tensor categories in characteristic 5

DOI10.1016/J.JALGEBRA.2024.12.006MaRDI QIDQ6668546

Alberto Elduque, Pavel Etingof, Arun S. Kannan

Publication date: 22 January 2025

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Albert algebraTits constructionsemisimplificationVerlinde categoryKac's superalgebra

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Exceptional Jordan structures (17C40) Super structures (17C70) Braided monoidal categories and ribbon categories (18M15)

Cites Work

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• A new construction of the Kac Jordan superalgebra
• On Semisimplification of Tensor Categories
• Tensor Categories
• From octonions to composition superalgebras via tensor categories
• Lectures on symmetric tensor categories
• New constructions of exceptional simple Lie superalgebras with integer Cartan matrix in characteristics 3 and 5 via tensor categories

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