A classification theorem for Albert algebras

DOI10.1090/S0002-9947-98-02102-3zbMath0898.17014OpenAlexW1511683753MaRDI QIDQ4382964

R. Sridharan, Raman Parimala, Maneesh L. Thakur

Publication date: 24 March 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-98-02102-3

zbMATH Keywords

Jordan algebrasAlbert algebrascohomological invariantsTits constructions

Mathematics Subject Classification ID

Exceptional Jordan structures (17C40)

Related Items (9)

Structure Theorems for Jordan Algebras of Degree Three Over Fields of Arbitrary Characteristic ⋮ Cyclic compositions and trisotopies ⋮ A survey on Albert algebras ⋮ Albert algebras and the Tits-Weiss conjecture ⋮ Invariants mod-2 and subgroups of \(G_2\) and \(F_4\) ⋮ The étale Tits process of Jordan algebras revisited. ⋮ Embeddings of rank-2 tori in algebraic groups ⋮ On \(R\)-triviality of \(F_4\) ⋮ Automorphisms of Albert algebras and a conjecture of Tits and Weiss II

Cites Work

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• On reduced exceptional simple Jordan algebras
• Galois cohomology of the classical groups over fields of cohomological dimension \(\leq 2\)
• On semi-automorphisms of division algebras
• Forms in Odd Degree Extensions and Self-Dual Normal Bases
• Cayley algebra bundles onA²_K
• The Freudenthal-Springer-Tits Constructions of Exceptional Jordan Algebras
• The Freudenthal-Springer-Tits Constructions Revisited

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