alexa The Octonions
Mathematics

Mathematics

Journal of Generalized Lie Theory and Applications

Author(s): Baez JC

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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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This article was published in Bull. Amer. Math. Soc. 39, 145-205. and referenced in Journal of Generalized Lie Theory and Applications

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