Vector product algebras
classification
🧮 math.RA
keywords
vectoradherentalgebrasbilinearclassicaldefineddetermineddimensions
read the original abstract
Vector products can be defined on spaces of dimensions 0, 1, 3 and 7 only, and their isomorphism types are determined entirely by their adherent symmetric bilinear forms. We present a short and elementary proof for this classical result.
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