Quadratic division algebras revisited (Remarks on an article by J. M. Osborn)

DOI10.1090/S0002-9939-00-05445-9zbMath1016.17002MaRDI QIDQ4505865

Ernst Dieterich

Publication date: 3 October 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

division algebrasoctonion algebraquaternion algebraalternative algebraspower associative algebras

Mathematics Subject Classification ID

Finite-dimensional division rings (16K20) Nonassociative division algebras (17A35) Quadratic algebras (but not quadratic Jordan algebras) (17A45)

Related Items (8)

Real commutative division algebras ⋮ Von-Neumann finiteness and reversibility in some classes of non-associative algebras ⋮ Duplication methods for embeddings of real division algebras ⋮ Four-Dimensional Real Third-Power Associative Division Algebras ⋮ Real division algebras with large automorphism group ⋮ The degree of an eight-dimensional real quadratic division algebra is 1, 3, or 5 ⋮ CLASSIFICATION, AUTOMORPHISM GROUPS AND CATEGORICAL STRUCTURE OF THE TWO-DIMENSIONAL REAL DIVISION ALGEBRAS ⋮ Liftings of dissident maps

Cites Work

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• Some consequences of a theorem of Bott
• Ein topologischer Beitrag zur reellen Algebra
• Stetige Lösungen linearer Gleichungssysteme
• Zur Klassifikation Vierdimensionaler Reeller Divisionsalgebren
• Quadratic Division Algebras
• Vector fields on spheres

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