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.Comment: 19 pages, 10 figure

Baraka, Nadia Bel

English

arXiv

19 pages, 10 figuresComparing 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

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

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