Introduction to Division Algebras, Sphere Algebras and Twistors

Abstract

A very basic introduction is given to the rôles of division algebras and the related sphere algebras concerning the structure of space-time in the dimensionalities $D\is 3,4,6$ and $10$, with special emphasis on twistors transformations for light-likeness conditions and Hopf maps, together with some outlook for particle and string theory.

10 pages, Goeteborg-ITP-93-43. Inputs: phyzzx, epsf. Uuencoded figure file appended