A note on division algebras of dimension four

DOI10.1142/S0219498817500955zbMath1390.17007OpenAlexW2369607096MaRDI QIDQ5739065

Patrick Vickery, M. V. Tvalavadze

Publication date: 2 June 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498817500955

zbMATH Keywords

real division algebrasderivation quaternion algebra

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Nonassociative division algebras (17A35)

Related Items (3)

Note on one family of real division algebras ⋮ Four-dimensional real division algebras with few derivations ⋮ Duplication methods for embeddings of real division algebras

Cites Work

• An investigation of real division algebras using derivations
• Real commutative division algebras
• On the parallelizability of the spheres
• Real Flexible Division Algebras
• The Derivation Algebra of a Real Division Algebra
• Zur Klassifikation Vierdimensionaler Reeller Divisionsalgebren
• Quadratic Division Algebras
• The Structure of Alternative Division Rings

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