Octonionic Mobius Transformations

Details Octonionic Mobius Transformations Octonionic Mobius Transformations

1999-05-27

arxiv.org/abs/math-ph/9905024v1

Mod.Phys.Lett. A14 (1999) 1243-1256

Physics

Mathematical Physics

Plain TeX, 12 pages, 1 PostScript figure included using epsf

Scientific paper

10.1142/S0217732399001346

A vexing problem involving nonassociativity is resolved, allowing a
generalization of the usual complex Mobius transformations to the octonions.
This is accomplished by relating the octonionic Mobius transformations to the
Lorentz group in 10 spacetime dimensions. The result will be of particular
interest to physicists working with lightlike objects in 10 dimensions.

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