Manin triples and differential operators on quantum groups
classification
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differentialmaninoperatorspoissontriplesalgebraiccertaincoincides
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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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