Polynomial functions on Jordan pairs
In a recent preprint (No. 53 on this server), F. Vandebrouck proved by a
case-by-case verification that a certain rational function on hermitian
Jordan triple systems, defined in terms of the generic norm, is in fact a
polynomial. We give an elementary proof of this fact which is valid for all
finite-dimensional Jordan pairs over arbitrary fields.
Ottmar Loos <ottmar.loos@uibk.ac.at>