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arxiv: math/0208051 · v2 · submitted 2002-08-06 · 🧮 math.SG · math.DG· math.RT

A Poisson structure on compact symmetric spaces

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keywords structurecompactpoissonsymmetricbasiccomplexcorrespondingflag
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We present some basic results on a natural Poisson structure on any compact symmetric space. The symplectic leaves of this structure are related to the orbits of the corresponding real semisimple group on the complex flag manifold.

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