# A Duflo Star Product for Poisson Groups

```@article{Brochier2016ADS,
title={A Duflo Star Product for Poisson Groups},
journal={Symmetry Integrability and Geometry-methods and Applications},
year={2016},
volume={12},
pages={088}
}```
• A. Brochier
• Published 28 April 2016
• Mathematics
• Symmetry Integrability and Geometry-methods and Applications
Let \$G\$ be a finite-dimensional Poisson algebraic, Lie or formal group. We show that the center of the quantization of \$G\$ provided by an Etingof-Kazhdan functor is isomorphic as an algebra to the Poisson center of the algebra of functions on \$G\$. This recovers and generalizes Duflo's theorem which gives an isomorphism between the center of the enveloping algebra of a finite-dimensional Lie algebra \$\mathfrak{a}\$ and the subalgebra of ad-invariant in the symmetric algebra of \$\mathfrak{a}\$. As…
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