Reductions related with Hopf maps

Details Reductions related with Hopf maps Reductions related with Hopf maps

2011-01-22

arxiv.org/abs/1101.4299v1

Physics

Mathematical Physics

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

Scientific paper

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.

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