Mathematics – Symplectic Geometry
Scientific paper
2007-10-24
Mathematics
Symplectic Geometry
28 pages, substantially revised exposition, corrected proof of Thm 2.1,
Scientific paper
We calculate, in a relatively explicit way, the Hamiltonian systems which arise from the Evens-Lu construction of homogeneous Poisson structures on both compact and noncompact type symmetric spaces. A corollary is that the Hamiltonian system arising in the noncompact case is isomorphic to the generic Hamiltonian system arising in the compact case. In the group case these systems are also isomorphic to those arising from the Bruhat Poisson structure on the flag space, and hence, by results of Lu, can be completely factored.
Caine Arlo
Pickrell Doug
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