  In a recent article with Oleg Smirnov, we defined short Peirce (SP) graded
Kantor pairs. For any such pair P, we defined a family, parameterized by the
Weyl group of type BC_2, consisting of SP-graded Kantor pairs called Weyl
images of P. In this article, we classify finite dimensional simple SP-graded
Kantor pairs over an algebraically closed field of characteristic 0 in terms of
marked Dynkin diagrams, and we show how to compute Weyl images using these
diagrams. The theory is particularly attractive for close-to-Jordan Kantor
pairs (which are variations of Freudenthal triple systems), and we construct
the reflections of such pairs (with nontrivial gradings) starting from Jordan
matrix pairs.
