Symmetric composition algebras

DOI10.1006/jabr.1997.7071zbMath0904.17004OpenAlexW2008484835MaRDI QIDQ1373214

Alberto Elduque

Publication date: 21 January 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7071

zbMATH Keywords

symmetric algebracomposition algebraOkubo algebras

Mathematics Subject Classification ID

Composition algebras (17A75)

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Okubo algebras in characteristic 3 and their automorphisms, On the lengths of standard composition algebras, Okubo quasigroups, The magic square and symmetric compositions, Composition algebras satisfying certain identities, Okubo algebras and valuations, Lie algebras with \(S_4\)-action and structurable algebras, Gradings on symmetric composition algebras, Okubo algebras with isotropic norm, Composition algebras and cyclic \(p\)-algebras in characteristic 3, Ternary derivations of finite-dimensional real division algebras, Symmetric triality relations and structurable algebras, Symmetric composition algebras over algebraic varieties, On an Ingelstam's Theorem, Local triality and some related algebras, A note on triality and symmetric compositions, Division composition algebras through their derivation algebras, The magic square and symmetric compositions. II, Trialitarian automorphisms of Lie algebras. With an appendix by Knus and Larissa Cadorin., Evolution algebras, automorphisms, and graphs, Composition algebras of degree two

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