A Quaternionic Structure as a Landmark for Symplectic Maps
arXiv:1910.13031
Abstract
We use a quaternionic structure on the product of two symplectic manifolds for relating Liouvillian forms with linear symplectic maps obtained by the symplectic Cayley's transformation.
7 pages, small modifications, some formulas corrected, we add some paragraphs about the application in symplectic integration