Generically unramified Jordan algebras over commutative rings
Most of the classical results on generically algebraic quadratic
Jordan algebras over fields are extended to algebras which are finitely
generated and projective over an arbitrary base ring, under the assumption
that the algebra be generically unramified. It is also shown that a module
isomorphism between generically unramified Jordan algebras of degree 3 which
preserves squares, traces and unit elements, is already an isomorphism, with
applications to the automorphism groups of the exceptional Jordan algebra and
its associated 2-Lie algebra in characteristic two.
(This paper is now obsolete; it has been superseded by
Generically algebraic Jordan algebras over commutative rings,
No. 179 on this server)
O. Loos < ottmar.loos@uibk.ac.at >