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math.QA2000
The Double and Dual of a Quasitriangular Lie Bialgebra
Timothy J. Hodges, Milen Yakimov
Let G be a connected, simply connected Poisson-Lie group with quasitriangular Lie bialgebra g. An explicit description of the double D(g) is given, together with the embeddings of…
math.QA2000
Symplectic Leaves of Complex Reductive Poisson-Lie Groups
Milen Yakimov
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 correspon…