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.

submitted in Proceedings of XV Int.Conference on Symmetry Methods in Physics, Tsakhkadzor, Armenia, 16-22 August, 2010

References in corpus (3)

• Second Hopf map and supersymmetric mechanics with Yang monopole
• Elements of (super-)Hamiltonian Formalism
• Hopf maps and Wigner's little groups