Ternary composition algebras and Hurwitz’s theorem

DOI10.1063/1.528115zbMath0664.17002OpenAlexW2050722672MaRDI QIDQ3815448

Ronald Shaw

Publication date: 1988

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528115

zbMATH Keywords

algebra of octonionsternary composition algebrasternary vector cross product algebra

Mathematics Subject Classification ID

Multilinear algebra, tensor calculus (15A69) Ternary compositions (17A40)

Related Items (4)

On Identities of a Ternary Quaternion Algebra ⋮ Clifford algebras and finite geometries ⋮ A 2-dimensional quaternionic construction of an 8-dimensional ternary composition algebra ⋮ On triality and automorphisms and derivations of composition algebras

Cites Work

• Calibrated geometries
• Vector cross products
• Stetige Lösungen linearer Gleichungssysteme
• Generalized vector products, duality, and octonionic identities in D=8 geometry
• Vector cross products inndimensions
• Ternary vector cross products
• A six-variable identity for a ternary vector cross product in eight-dimensional space
• A new view of d=7 Clifford algebra

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