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A symplectic approach to van den Ban's convexity theorem

A symplectic approach to van den Ban's convexity theorem

Let G be a complex semisimple Lie group and \tau a complex antilinear involution that commutes with a Cartan involution. If H denotes the connected subgroup of \tau -fixed points in G , and K is maximally compact, each H -orbit in G/K can be equipped with a Poisson structure …