Octonionic Mobius Transformations
Mathematical Physics
2009-10-31 v1 High Energy Physics - Theory
math.MP
Rings and Algebras
Abstract
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.
Cite
@article{arxiv.math-ph/9905024,
title = {Octonionic Mobius Transformations},
author = {Corinne A. Manogue and Tevian Dray},
journal= {arXiv preprint arXiv:math-ph/9905024},
year = {2009}
}
Comments
Plain TeX, 12 pages, 1 PostScript figure included using epsf