Manin triples and differential operators on quantum groups

Details Manin triples and differential operators on quantum groups Manin triples and differential operators on quantum groups

2010-12-06

arxiv.org/abs/1012.1149v3

Mathematics

Representation Theory

34pages

Scientific paper

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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