Flexible composition algebras and okubo algebras

DOI10.1080/00927879108824198zbMath0724.17002OpenAlexW2090404803MaRDI QIDQ5758353

Hyo Chul Myung, Alberto Elduque

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1080/00927879108824198

zbMATH Keywords

para-Hurwitz algebrasOkubo algebrasflexible composition algebra

Mathematics Subject Classification ID

Composition algebras (17A75) Flexible algebras (17A20) Lie-admissible algebras (17D25)

Related Items

Composition Algebras Satisfying the Flexible Law, Okubo algebras in characteristic 3 and their automorphisms, On the lengths of standard composition algebras, The reductive pair \((B_ 3,G_ 2)\) and affine connections on \(S^ 7\), On flexible composition algebras, Third power associative composition algebras, Composition algebras with large derivation algebras, Unnamed Item, Composition algebras satisfying certain identities, Gradings on symmetric composition algebras, Symmetric composition algebras, Classification of the finite-dimensional real division composition algebras having a non-abelian derivation algebra, Okubo algebras with isotropic norm, Composition algebras with associative bilinear form, Color algebras and affine connections on \(S^ 6\), On an Ingelstam's Theorem, Division composition algebras through their derivation algebras, The magic square and symmetric compositions. II, A geometrical interpretation of Okubo spin group, Composition algebras of degree two, Malcev superalgebras with trival nucleus

Cites Work

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• On maximal subalgebras of central simple Malcev algebras
• Identity classification in triple systems
• Malcev-admissible algebras
• Some new classes of division algebras
• Quasi composition algebras
• Algebras with nondegenerate associative symmetric bilinear forms permitting composition
• Real Flexible Division Algebras