On a problem by Nathan Jacobson

DOI10.4171/RMI/1299zbMath1500.17025arXiv2007.09313MaRDI QIDQ2157361

Victor Hugo López Solís, Ivan Pavlovic Shestakov

Publication date: 27 July 2022

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

Full work available at URL: https://arxiv.org/abs/2007.09313

zbMATH Keywords

Plücker relationsquaternion algebraalternative algebrasCayley bimoduleKronecker factorization theorem

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Alternative rings (17D05) Composition algebras (17A75)

Cites Work

• A Kronecker factorization theorem for the exceptional Jordan superalgebra
• Noncommutative Jordan superalgebras of degree \(n > 2\)
• Representations of exceptional simple alternative superalgebras of characteristic 3
• Jordan bimodules over the superalgebras 𝑃(𝑛) and 𝑄(𝑛)
• REPRESENTATIONS OF EXCEPTIONAL SIMPLE JORDAN SUPERALGEBRAS OF CHARACTERISTIC 3^#
• Structure and Representations of Noncommutative Jordan Algebras
• A Kronecker Factorization Theorem for Cayley Algebras and the Exceptional Simple Jordan Algebra
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