paper

Kontsevich star-product on the dual of a Lie algebra

arXiv:math/9905080

Abstract

We show that on the dual of a Lie algebra $\g$ of dimension , 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.

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