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math.DG2015★ 5 cited
On the T-leaves of some Poisson structures related to products of flag varieties
Jiang-Hua Lu, Victor Mouquin
For a connected abelian Lie group T acting on a Poisson manifold (Y,π) by Poisson isomorphisms, the T-leaves of π in Y are, by definition, the orbits of the symplectic leaves of π…
math.DG2015★ 2 cited
Mixed product Poisson structures associated to Poisson Lie groups and Lie bialgebras
Jiang-Hua Lu, Victor Mouquin
We introduce and study some mixed product Poisson structures on product manifolds associated to Poisson Lie groups and Lie bialgebras. For quasitriangular Lie bialgebras, our const…