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Manin triples and differential operators on quantum groups (1012.1149v4)
Published 6 Dec 2010 in math.RT, math.QA, and math.SG
Abstract: By taking the quasi-classical limit of the ring of differential operators on a quantized algebraic group at roots of 1 we obtain a certain Poisson manifold. We show that this Poisson structure coincides with the one introduced by Semenov-Tyan-Shansky geometrically in the framework of Manin triples.
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