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From octonions to composition superalgebras via tensor categories

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Publication:6118797
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DOI10.4171/rmi/1408arXiv2205.06559MaRDI QIDQ6118797

Umut Sayın, Alberto Daza-García, Alberto Elduque

Publication date: 28 February 2024

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.06559

zbMATH Keywords

superalgebrasoctonionstensor categorysemisimplificationVerlinde category


Mathematics Subject Classification ID

Superalgebras (17A70) Composition algebras (17A75) Braided monoidal categories and ribbon categories (18M15)




Cites Work

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  • Some new simple modular Lie superalgebras
  • Classification of finite dimensional modular Lie superalgebras with indecomposable Cartan matrix
  • Magic squares and matrix models of Lie algebras.
  • Triality, exceptional Lie algebras and Deligne dimension formulas.
  • The magic square and symmetric compositions
  • On symmetric fusion categories in positive characteristic
  • New simple Lie superalgebras in characteristic 3
  • An extended Freudenthal magic square in characteristic 3
  • Order 3 Elements in G2 and Idempotents in Symmetric Composition Algebras
  • COMPOSITION SUPERALGEBRAS
  • On Semisimplification of Tensor Categories
  • Composition Algebras
  • Tensor Categories
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