Jordan algebras arising from intermolecular recombination
We use computer algebra to show that a linearization of
the operation of intermolecular recombination from theoretical genetics
satisfies a nonassociative polynomial identity of degree 4 which implies
the Jordan identity. We use the representation theory of the symmetric
group to decompose this new identity into its irreducible components.
We show that this new identity implies all the identities of degree
at most 6 satisfied by intermolecular recombination.
M. R. Bremner < bremner@math.usask.ca >