Poisson Hopf algebras associated to quantized enveloping algebras

Abstract

We study certain Poisson structures related to quantized enveloping algebras. In particular, we give a description of the Poisson structure of a certain manifold associated to the ring of differential operators.

arXiv comment40pages

Cited by in corpus (2)

• Free Poisson Hopf algebras generated by coalgebras
• The structures on the universal enveloping algebras of differential graded Poisson Hopf algebras