English

Well, Papa, can you multiply triplets?

Commutative Algebra 2008-11-03 v1 Rings and Algebras

Abstract

We show that the classical algebra of quaternions is a commutative Z2×Z2×Z2\Z_2\times\Z_2\times\Z_2-graded algebra. A similar interpretation of the algebra of octonions is impossible.

Keywords

Cite

@article{arxiv.0810.5562,
  title  = {Well, Papa, can you multiply triplets?},
  author = {Sophie Morier-Genoud and Valentin Ovsienko},
  journal= {arXiv preprint arXiv:0810.5562},
  year   = {2008}
}

Comments

3 pages

R2 v1 2026-06-21T11:36:44.107Z