ABSTRACT
Let k be a field of characteristic zero, a k-Lie algebra,
the symmetrization map. The PBW quantization is the one parameter family of associative products:
ACKNOWLEDGMENTS
I wish to thank Boris Tsygan, from whom I learned of the relation between the Campbell-Hausdorff series and the . Victor Ginzburg told me that no general formula as I was looking for seemed to be known. His comment encouraged me to carry out this research, and I am thankful to him for it. Thanks also to Alexei Davydov for a useful discussion.
Partially supported by grants BID802/OC-AR-PICT 2260 and UBACyT TW79. This research was carried out while visiting the universities of Bielefeld and Münster with a Humboldt fellowship.