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25 April 2024
 
  » arxiv » 1603.7193

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On the irrationality of certain coefficients of the Alekseev-Torossian associator
Matteo Felder ;
Date 23 Mar 2016
AbstractWe give explicit formulas for the first few coefficients of the Alekseev-Torossian associator and a second Drinfeld associator. This is done by analyzing the free and transitive action of the Grothendieck-Teichm"uller group and its Lie algebra $mathfrak{grt}_1$ on the set of Drinfeld associators. As a result we obtain that, up to a conjecture on multiple zeta values, both associators are not rational.
Source arXiv, 1603.7193
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