|Octonions & Sedenions|
The word sedenion is derived from sexdecim, meaning sixteen. A sedenion is a hypercomplex number constituted from 16 basal elements. A set of sedenions form an algebra, S. If S, T, V represent three sedenions the algebra is
Sedenion: Algebra and analysis
A 16-dimensional Cayley-Dickson algebra is presented. Its unique algebraic properties, its zero divisors, and the solutions to a general linear equation are found. A theory of function is developed in terms of the regularity (monogenicity) conditions and some such functions are constructed.
Publication date : 10/2000, Vol. 115/2-3, pp77-88