Real Flexible Division Algebras

DOI10.4153/CJM-1982-039-xzbMath0469.17001MaRDI QIDQ3922819

J. Marshall Osborn, Georgia M. Benkart, Daniel Britten

Publication date: 1982

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Lie-admissiblefinite-dimensional flexible division algebras

Mathematics Subject Classification ID

Nonassociative division algebras (17A35) Flexible algebras (17A20)

Related Items (19)

\(S_3\) invariants of finite dimensional real division algebras ⋮ On Finite-Dimensional Absolute-Valued Algebras Satisfying (x^p,x^q,x^r) = 0 ⋮ Note on one family of real division algebras ⋮ How to Obtain Division Algebras from Twisted Cayley–Dickson Doublings ⋮ Normal forms for the \(\mathcal G_2\)-action on the real symmetric \(7\times 7\)-matrices by conjugation ⋮ Frobenius algebra with relaxed associativity constraint ⋮ Algebraic extensions of some results by Yang ⋮ Real division algebras with a nontrivial reflection ⋮ On pre-Hilbert noncommutative Jordan algebras satisfying \(\|x^2\| = \|x\|^2\) ⋮ Duplication methods for embeddings of real division algebras ⋮ On a theorem by Hopf ⋮ How to obtain division algebras from a generalized Cayley-Dickson doubling process ⋮ A note on division algebras of dimension four ⋮ Four-Dimensional Real Third-Power Associative Division Algebras ⋮ Real division algebras with large automorphism group ⋮ Flexible composition algebras and okubo algebras ⋮ Division composition algebras through their derivation algebras ⋮ CLASSIFICATION, AUTOMORPHISM GROUPS AND CATEGORICAL STRUCTURE OF THE TWO-DIMENSIONAL REAL DIVISION ALGEBRAS ⋮ Real quadratic flexible division algebras

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