Kontsevich and Takhtajan construction of star product on the Poisson Lie group GL(2)

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Comparing the star product defined by Takhtajan on the Poisson-Lie group GL(2) and any star product calculated from the Kontsevich's graphs (any ''K-star product'') on the same group, we show, by direct computation, that the Takhtajan star product on GL(2) can't be written as a K-star product.
19 pages, 10 figures

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