Quaternionic integrable systems

Abstract

Standard (Arnold-Liouville) integrable systems are intimately related to complex rotations. One can define a generalization of these, sharing many of their properties, where complex rotations are replaced by quaternionic ones. Actually this extension is not limited to the integrable case: one can define a generalization of Hamilton dynamics based on hyperKahler structures.Comment: 10 pages. To appear in the proceedings of the SPT2002 conference, edited by S. Abenda, G. Gaeta and S. Walcher, World Scientifi