Trilinear products and comtrans algebra representations

DOI10.1016/J.LAA.2008.06.028zbMath1162.17003OpenAlexW1980491441MaRDI QIDQ957990

Bokhee Im, Jonathan D. H. Smith

Publication date: 2 December 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.06.028

zbMATH Keywords

cubic formcomtrans algebratrilinear form

Mathematics Subject Classification ID

Other nonassociative rings and algebras (17D99) Ternary compositions (17A40)

Related Items (2)

Representations of the comtrans algebra of n × n matrices ⋮ Special identities for comtrans algebras

Cites Work

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• Multilinear algebras and Lie's theorem for formal \(n\)-loops
• Comtrans algebras and bilinear forms
• Simple multilinear algebras, rectangular matrices and Lie algebras
• Comtrans algebras, Thomas sums, and bilinear forms
• Simple algebras of hermitian operators
• Generic adjoints in comtrans algebras of bilinear spaces
• Classification of the comtrans algebras of low dimensionalities

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