# A Duflo Star Product for Poisson Groups

@article{Brochier2016ADS, title={A Duflo Star Product for Poisson Groups}, author={Adrien Brochier}, journal={Symmetry Integrability and Geometry-methods and Applications}, year={2016}, volume={12}, pages={088} }

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…

## One Citation

### A 2-categorical extension of Etingof–Kazhdan quantisation

- Mathematics
- 2018

Let $$\mathsf {k}$$k be a field of characteristic zero. Etingof and Kazhdan (Sel. Math. (N.S.) 2:1–41, 1996) construct a quantisation $$U_\hbar \mathfrak b$$Uħb of any Lie bialgebra $$\mathfrak b$$b…

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