275 research outputs found
Hamiltonian dynamics on matched pairs
It is shown that the cotangent bundle of a matched pair Lie group is itself a
matched pair Lie group. The trivialization of the cotangent bundle of a matched
pair Lie group are presented. On the trivialized space, the canonical
symplectic two-form and canonical Poisson bracket are explicitly written.
Various symplectic and Poisson reductions are perfomed. The Lie-Poisson bracket
is derived. As an example, Lie-Poisson equations on
are obtained.Comment: 28 page
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