On the classification of Freudenthal triple systems and Lie algebras of type \(E_7\)

DOI10.1016/0021-8693(80)90180-5zbMath0428.17003OpenAlexW1982036082WikidataQ115367372 ScholiaQ115367372MaRDI QIDQ1137104

Joseph C. Ferrar

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90180-5

zbMATH Keywords

Freudenthal triple systemsCayley algebrasHasse principle for quadratic forms

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Jordan structures associated with other structures (17C50) Ternary compositions (17A40)

Related Items (2)

Chevalley groups of type \(E_7\) in the 56-dimensional representation. ⋮ The Rost invariant has trivial kernel for quasi-split groups of low rank

Cites Work

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• Algebras of type \(E_7\) over number fields
• Triality and Lie algebras of type \(D_4\)
• Lie algebras of type \(E_6\)
• A structure theory for Jordan algebras
• On Automorphisms of Lie Algebras of Classical Type. III
• Strictly Regular Elements in Freudenthal Triple Systems

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