Jordan algebras in R

A Jordan algebra is a non-associative algebra over the reals with a bilinear multiplication that satisfies the following identities:


(the second identity is known as the Jordan identity). In literature one usually indicates multiplication by juxtaposition but one sometimes sees . Package idiom is to use an asterisk, as in x*y. There are five types of Jordan algebras, all of which have their own representation in the package, which uses S4 methods.

Further information

For more detail, see the package vignette