Kontsevich star-product on the dual of a Lie algebra

Details Kontsevich star-product on the dual of a Lie algebra Kontsevich star-product on the dual of a Lie algebra

1999-05-12

arxiv.org/abs/math/9905080v1

Mathematics

Quantum Algebra

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

Scientific paper

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.

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