Reductions related with Hopf maps

Abstract

We consider the reductions of $2p$-dimensional particle system ($p=2,4,8$), associated with the Hopf map. For the third Hopf map we explicitly construct the functions associated to the symmetry related to the rotations in the fiber.Comment: submitted in Proceedings of XV Int.Conference on Symmetry Methods in Physics, Tsakhkadzor, Armenia, 16-22 August, 201