Quadratic alternative algebras

DOI10.1063/1.528861zbMath0716.17002OpenAlexW1993256699MaRDI QIDQ3203178

Alberto Elduque

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528861

zbMATH Keywords

quadratic algebrabilinear formquadratic alternative algebras

Mathematics Subject Classification ID

Alternative rings (17D05) Composition algebras (17A75) Mal'tsev rings and algebras (17D10) Quadratic algebras (but not quadratic Jordan algebras) (17A45)

Related Items (7)

Octonions as Clifford-like algebras ⋮ Algebras with scalar involution revisited ⋮ Malcev algebras corresponding to smooth almost left automorphic Moufang loops ⋮ On locally complex algebras and low-dimensional Cayley-Dickson algebras ⋮ Skew-symmetric identities of octonions ⋮ Degree three, four, and five identities of quadratic algebras ⋮ On the variety determined by symmetric quadratic algebras

Cites Work

• On semimodular Mal'cev algebras
• Nonassociative algebras with scalar involution
• On maximal subalgebras of central simple Malcev algebras
• Alternative algebras having scalar involutions
• Semiprimary Mal'tsev algebras of characteristic 3
• Generalizations of the quaternion algebra and Lie algebras
• Notes on a cross product of vectors
• The metric of a space and quadratic algebras
• Algebras with three anticommuting elements. I. Spinors and quaternions
• Le group des algebras quadratiques^(∗).
• The algebra of color
• A generalization of the construction of Ilamed and Salingaros
• Generalized quaternions and spacetime symmetries
• On Anti-Commutative Algebras with an Invariant Form

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