Octonions Online

Here are some online resources for learning more about the octonions and their possible applications to physics. Some of this material is respectable; some is downright wacky! Read and make up your own mind.

• Jeff Biggus' history of hypercomplex number systems, with further links to mathematical biographies.

• Geoffrey Dixon's octonion webpages. Geoffrey Dixon has a theory of physics based on the algebra $\C \tensor \H \tensor \O$.

• Tevian Dray's octonion webpage, with links to his publications on octonions.

• Pertti Lounesto's CLICAL program, which does Clifford algebra and octonion calculations.

• Corinne Manogue's research statement and list of publications. Manogue and Dray have collaborated on a number of projects involving octonions and 10-dimensional Lorentzian geometry.

• David Rusin's ring and division algebra FAQ.

• Tony Smith's octonion and Freudenthal-Tits magic square webpages. Tony Smith has a theory of physics involving exceptional groups and Jordan algebras. He also likes numerological coincidences relating mathematics and mythology.

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