Abstract
We prove that the Kontsevich integrals (in the sense of the formality theorem) of all even wheels are equal to zero. These integrals appear in the approach to the Duflo formula via the formality theorem. The result means that for any finite-dimensional Lie algebra g, and for invariant polynomials f, g ∈ [S·(g)]g one has f · g = f * g, where * is the Kontsevich star product, corresponding to the Kirillov–Poisson structure on g*. We deduce this theorem form the result contained in math.QA/0010321 on the deformation quantization with traces.
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