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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.
For more detail, see the package vignette
vignette("jordan")
These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.