Cubic Subfields of Exceptional Simple Jordan Algebras

DOI10.2307/2045263zbMath0505.17010OpenAlexW4250994771MaRDI QIDQ4740717

Holger P. Petersson, Michel L. Racine

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2045263

zbMATH Keywords

division algebracyclic cubic subfieldreducing fieldsimple exceptional Jordan algebra of degree three

Mathematics Subject Classification ID

Exceptional Jordan structures (17C40)

Related Items (7)

An elementary approach to the Serre-Rost invariant of Albert algebras ⋮ Algebras of odd degree with involution, trace forms and dihedral extensions ⋮ The cyclicity problem for Albert algebras ⋮ Kummer elements and the mod-3 invariant of Albert algebras ⋮ Reduced models of Albert algebras ⋮ On \(R\)-triviality of \(F_4\) ⋮ On the Tits–Weiss conjecture and the Kneser–Tits conjecture for and (With an Appendix by R. M. Weiss)

Cites Work

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• A construction of exceptional Jordan division algebras
• Springer forms and the first Tits construction of exceptional Jordan division algebras
• Classification of algebras arising from the Tits process
• On exceptional Jordan division algebras
• Exceptional Jordan division algebras over a field with a discrete valuation.
• The Freudenthal-Springer-Tits Constructions of Exceptional Jordan Algebras
• The Freudenthal-Springer-Tits Constructions Revisited
• A Note on Quadratic Jordan Algebras of Degree 3

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