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Journal of Lie Theory 24 (2014), No. 1, 077--096
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

Let αf 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 αf coincides with the biquantization character of the zero degree cohomology of the Cattaneo-Felder A algebra in the linear case.

Keywords: Deformation quantization, orbit method, invariant differential operators, nilpotent Lie algebras.

MSC: 53D55, 22E35, 17B15, 16S32

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