English

Vector product algebras

Rings and Algebras 2009-11-24 v1

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.

Keywords

Cite

@article{arxiv.0810.5464,
  title  = {Vector product algebras},
  author = {Erik Darpö},
  journal= {arXiv preprint arXiv:0810.5464},
  year   = {2009}
}

Comments

7 pages

R2 v1 2026-06-21T11:36:32.860Z