The Octonions
2002bae | Baez John C.  // Department of Mathematics University of California, baez@math.ucr.edu

From ArXiv:math.RA/0105155 v4 23 Apr 2002
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 mathematics. Here we describe them and their relation to Clifford algebras and spinors, Bott periodicity, projective and Lorentzian geometry, Jordan algebras, and the exceptional Lie groups. We also touch upon their applications in quantum logic, special relativity and supersymmetry.

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