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Symplectic Leaves of Complex Reductive Poisson-Lie Groups

Milen Yakimov

math.QAarXiv:math/0004102

Abstract

All factorizable Lie bialgebra structures on complex reductive Lie algebras were described by Belavin and Drinfeld. We classify the symplectic leaves of the full class of corresponding connected Poisson-Lie groups. A formula for their dimensions is also proved.

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