Baez J.C. The Octonions

Department of Mathematics, University of California, 2001, 56 c.
The octonions are the largest of the four normed division algebras. While somewhat neglected
due to their nonassociativity, they stand at the crossroads of many interesting fields of mathe-
matics. Here we describe them and their relation to Clifford algebras and spinors, Bott period-
icity, projective and Lorentzian geometry, Jordan algebras, and the exceptional Lie groups. We
also touch upon their applications in quantum logic, special relativity and supersymmetry.
Русский перевод статьи в журнале Гиперкомлексные числа и их применение в геометрии и физике: /file/1684586/