
Journal of Lie Theory 24 (2014), No. 1, 077096 Copyright Heldermann Verlag 2014 Equivalence of Characters in Deformation Quantization and Lie Theory Panagiotis Batakidis Dept. of Mathematics and Statistics, University of Cyprus, P. O. Box: 20537, 1678 Nicosia, Cyprus batakid@ucy.ac.cy Let α_{f} be the Penney distribution associated to an element f in g*, where g is a nilpotent Lie algebra. We prove that the analytical character of α_{f} coincides with the biquantization character of the zero degree cohomology of the CattaneoFelder A_{∞} algebra in the linear case. Keywords: Deformation quantization, orbit method, invariant differential operators, nilpotent Lie algebras. MSC: 53D55, 22E35, 17B15, 16S32 [ Fulltextpdf (437 KB)] for subscribers only. 