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arXiv · 1012.1149

Manin triples and differential operators on quantum groups

Toshiyuki Tanisaki
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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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Toshiyuki Tanisaki. 2012-09-09. Manin triples and differential operators on quantum groups. https://arxiv.org/abs/1012.1149

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