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Kontsevich star-product on the dual of a Lie algebra
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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.
Forward citations
Cited by 2 Pith papers
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Quantum Mechanics on Lie Groups: II. Path Integrals
A path integral on the Hilbert space of a Lie group is built by decompactifying to the Lie algebra and summing over winding sectors in maximal tori, yielding two-loop heat-kernel coefficients for Euler-Arnold systems.
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M. Kontsevich's graph complexes and universal structures on graded symplectic manifolds
For every d at least 2, the full Kontsevich graph complex maps injectively into the Chevalley-Eilenberg complex of the n=d-1 Schouten algebra, so its zeroth cohomology acts via L-infinity automorphisms on graded sympl...
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