Jordan algebras and Lie algebras of type \(D_4\)

DOI10.1016/0021-8693(67)90038-5zbMath0189.33203OpenAlexW2014487823WikidataQ115367769 ScholiaQ115367769MaRDI QIDQ2537643

Harry P. Allen

Publication date: 1967

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

Full work available at URL: https://doi.org/10.1016/0021-8693(67)90038-5

zbMATH Keywords

Lie algebrastrivial two-cohomology classtype \(D_4\)

Mathematics Subject Classification ID

Simple, semisimple, reductive (super)algebras (17B20)

Related Items (6)

On the Tits indices of absolutely almost simple algebraic groups over local and global fields ⋮ Construction of \(3 \times{} 3\)-matrix Lie algebras and some Lie algebras of type \(D_ 4\) ⋮ Hermitian forms. II ⋮ Lie algebras of type \(E_6\) ⋮ Isotropic trialitarian algebraic groups ⋮ New simple Lie algebras of type 𝐷₄

Cites Work

• On reduced exceptional simple Jordan algebras
• Triality and Lie algebras of type \(D_4\)
• On Automorphisms of Lie Algebras of Classical Type. II
• Some groups of Transformations defined by Jordan Algebras. III. Groups of Type E61.
• The Exceptional Simple Lie Algebras F ₄ and E ₆
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