科研之友
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摘要
Let G be a simple algebraic group over C. By taking the quasi-classical limit of the ring of differential operators on the corresponding quantized algebraic group at roots of 1 we obtain a Poisson manifold Delta G x K, where Delta G is the subgroup of G x G consisting of the diagonal elements, and K is a certain subgroup of G x G. We show that this Poisson structure coincides with the one introduced by Semenov-Tyan-Shansky geometrically in the framework of Manin triples.
- 出版日期2013-6
