Description
A Suite of Routines for Working with Jordan Algebras.
Description
A Jordan algebra is an algebraic object originally designed to study observables in quantum mechanics. Jordan algebras are commutative but non-associative; they satisfy the Jordan identity. The package follows the ideas and notation of K. McCrimmon (2004, ISBN:0-387-95447-3) "A Taste of Jordan Algebras". To cite the package in publications, please use Hankin (2023) <doi:10.48550/arXiv.2303.06062>.
README.md
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
vignette("jordan")