Comtrans algebras and bilinear forms

DOI10.1007/BF01197047zbMath0739.17010MaRDI QIDQ811602

X. R. Shen, Jonathan D. H. Smith

Publication date: 1992

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

automorphism groupshyperbolic planebilinear formtangent bundlewebcomtrans algebrasEuclidean inner productform algebraformed spaceLie algebra commutatorvector triple product

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17B99) Differential geometry of webs (53A60) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (5)

Classification of the comtrans algebras of low dimensionalities ⋮ REPRESENTATION THEORY FOR VARIETIES OF COMTRANS ALGEBRAS AND LIE TRIPLE SYSTEMS ⋮ Generic adjoints in comtrans algebras of bilinear spaces ⋮ Trilinear products and comtrans algebra representations ⋮ Restricted Comtrans Algebras over Small Odd Primes

Cites Work

• Multilinear algebras and Lie's theorem for formal \(n\)-loops
• Lie's fundamental theorems for local analytical loops
• Representation theory of comtrans algebras
• Simple multilinear algebras, rectangular matrices and Lie algebras
• Endliche Gruppen I
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