Notes on a cross product of vectors

DOI10.1063/1.528116zbMath0667.15023OpenAlexW2015049210MaRDI QIDQ3819189

Maciej Przanowski, Jerzy F. Plebański

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.528116

zbMATH Keywords

classificationassociative algebrascross productsquaternionlike algebras

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Quadratic and bilinear forms, inner products (15A63) Lie algebras and Lie superalgebras (17B99)

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Quadratic alternative algebras ⋮ On the Weyl-Wigner-Moyal description of \(\text{SU}(\infty)\) Nahm equations. ⋮ The metric of a space and quadratic algebras

Cites Work

• A 3-fold vector product in \(R^ 8\)
• Vector cross products
• Stetige Lösungen linearer Gleichungssysteme
• Cross Products of Vectors in Higher Dimensional Euclidean Spaces
• Generalized vector products, duality, and octonionic identities in D=8 geometry
• Generalizations of the quaternion algebra and Lie algebras
• The Automorphisms of Cayley's Non-Associative Algebra