Some new classes of division algebras

DOI10.1016/0021-8693(80)90172-6zbMath0451.17001OpenAlexW1998683006MaRDI QIDQ1147786

Susumu Okubo, Hyo Chul Myung

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)90172-6

zbMATH Keywords

associated para-octonion division algebrareal division algebra without unit element of dimension 4 and 8

Mathematics Subject Classification ID

Nonassociative division algebras (17A35)

Related Items

Okubo algebras in characteristic 3 and their automorphisms, On flexible composition algebras, Third power associative composition algebras, Real representations of finite Clifford algebras. II. Explicit construction and pseudo-octonion, Composition algebras with large derivation algebras, On the construction of reductive Lie-admissible algebras, A reductive case on derivations in Vinberg (−1,1) rings, Gradings on symmetric composition algebras, Symmetric composition algebras, Sectional nonassociativity of metrized algebras, Unnamed Item, Associative rings, Flexible composition algebras and okubo algebras, A geometrical interpretation of Okubo spin group, Power-associative products on octonions

Cites Work

• Bonded quadratic division algebras
• Non-associative algebras. II: New simple algebras
• On the parallelizability of the spheres
• Adjoint Operators in Lie Algebras and the Classification of Simple Flexible Lie-Admissible Algebras
• Quadratic Division Algebras
• Some Results in the Theory of Linear Non-Associative Algebras
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