量子群上的Manin三元组与微分算子
Manin triples and differential operators on quantum groups
摘要：
通过对量子化代数群上的微分算子环在根为1处取拟经典极限，得到了一个Poisson流形。我们发现，这泊松结构与Semenov-Tyan-Shansky在Manin三元组的框架中几何地引入的泊松结构相吻合。
英文摘要：
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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