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

2001/11/27 by Nadia Bel Baraka, Baraka, Nadia Bel
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA

paper · pdf · doi:10.48550/arxiv.math-ph/0111046

19 pages, 10 figures

arxiv created 2001/11/27 · arxiv updated 2009/11/30

Abstract

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.

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