Algebras with nondegenerate associative symmetric bilinear forms permitting composition
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Publication:3918273
DOI10.1080/00927878108822644zbMath0466.17002OpenAlexW4251553864MaRDI QIDQ3918273
J. Marshall Osborn, Susumu Okubo
Publication date: 1981
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927878108822644
composition algebraassociative formpseudo- octonion algebrapara-Hurwitz algebraflexible composition algebra
Related Items (33)
Composition Algebras Satisfying the Flexible Law ⋮ Okubo algebras in characteristic 3 and their automorphisms ⋮ On the lengths of standard composition algebras ⋮ Okubo quasigroups ⋮ On flexible composition algebras ⋮ COMPOSITION SUPERALGEBRAS ⋮ Third power associative composition algebras ⋮ On finite dimensional absolute valued algebras satisfying \((x,x,x)=0\) ⋮ Real representations of finite Clifford algebras. II. Explicit construction and pseudo-octonion ⋮ Composition algebras with large derivation algebras ⋮ A correction of the decomposability result in a paper by Meyer-Neutsch ⋮ Absolute valued algebras with an involution ⋮ Composition algebras satisfying certain identities ⋮ Gradings on the simple real Lie algebras of types \(G_2\) and \(D_4\) ⋮ Gradings on symmetric composition algebras ⋮ Symmetric composition algebras ⋮ Absolute values on h∗-algebras ⋮ Sectional nonassociativity of metrized algebras ⋮ Composition algebras and cyclic \(p\)-algebras in characteristic 3 ⋮ Composition algebras with associative bilinear form ⋮ Symmetric triality relations and structurable algebras ⋮ On an extremal property of Jordan algebras of Clifford type ⋮ On an Ingelstam's Theorem ⋮ Local triality and some related algebras ⋮ Flexible composition algebras and okubo algebras ⋮ Division composition algebras through their derivation algebras ⋮ Absolute Valued Algebras Having a Local Unit Element ⋮ Trialitarian automorphisms of Lie algebras. With an appendix by Knus and Larissa Cadorin. ⋮ A quantum octonion algebra ⋮ Composition algebras of degree two ⋮ Algebras with nondegenerate associative symmetric bilinear forms permitting composition, II ⋮ Semisymmetrization and Mendelsohn quasigroups ⋮ Power-associative products on octonions
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