Vector product algebras

Details Vector product algebras Vector product algebras

2008-10-30

arxiv.org/abs/0810.5464v1

Bull. Lond. Math. Soc. 41(5):898-902, 2009

Mathematics

Rings and Algebras

7 pages

Scientific paper

10.1112/blms/bdp066

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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