Manin triples and differential operators on quantum groups
Representation Theory
2012-09-11 v4 Quantum Algebra
Symplectic Geometry
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.
Cite
@article{arxiv.1012.1149,
title = {Manin triples and differential operators on quantum groups},
author = {Toshiyuki Tanisaki},
journal= {arXiv preprint arXiv:1012.1149},
year = {2012}
}
Comments
34pages. arXiv admin note: text overlap with arXiv:0802.1590