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arXiv:1012.1149 [math.RT]AbstractReferencesReviewsResources

Manin triples and differential operators on quantum groups

Toshiyuki Tanisaki

Published 2010-12-06, updated 2012-09-09Version 4

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.

Comments: 34pages. arXiv admin note: text overlap with arXiv:0802.1590
Categories: math.RT, math.QA, math.SG
Subjects: 20G05, 17B37, 53D17
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