most citedHomogeneous Poisson structures on symmetric spaces

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math.SG2009★ 1 cited

Toric Poisson Structures

Arlo Caine

Let X(Σ) be a smooth projective toric variety for a complex torus T_\C. In this paper, a real T_\C-invariant Poisson structure Π_Σis constructed on the complex manifold X(Σ), the s…

math.SG2007★ 1 cited

Homogeneous Poisson structures on symmetric spaces

Arlo Caine, Doug Pickrell

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…