Kontsevich star-product on the dual of a Lie algebra

Abstract

We show that on the dual of a Lie algebra $\g$ of dimension $d$, the star-product recently introduced by M. Kontsevich is equivalent to the Gutt star-product on $\g^\ast$. We give an explicit expression for the operator realizing the equivalence between these star-products.

arXiv comment15 pages, 4 figures, to appear in Lett. Math. Phys. Vol. 48 (1999)

References in corpus (3)

• Deformation quantization of Poisson manifolds, I
• Operads and Motives in Deformation Quantization
• On the Kontsevich and the Campbell-Baker-Hausdorff deformation quantizations of a linear Poisson structure

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