Journal of Lie Theory

no. 2
On the Irrationality of Certain Coefficients of the Alekseev-Torossian Associator
Journal of Lie Theory, Volume 27 (2017) no. 2, pp. 501-528
We give explicit formulas for the first few coefficients of the Alekseev-Torossian associator and a second Drinfeld associator defined by C. Rossi and T. Willwacher. This is done by analyzing the free and transitive action of the Grothendieck-Teichmüller group and its Lie algebra grt1 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.
DOI: 10.5802/jolt.956
Classification: 17B01, 81R10
Keywords: Drinfeld associators, Grothendieck-Teichmueller group, Grothendieck-Teichmueller Lie algebra, multiple zeta values 
@article{JOLT_2017_27_2_a9,
     author = {M. Felder},
     title = {On the {Irrationality} of {Certain} {Coefficients} of the {Alekseev-Torossian} {Associator}},
     journal = {Journal of Lie Theory},
     pages = {501--528},
     year = {2017},
     volume = {27},
     number = {2},
     doi = {10.5802/jolt.956},
     zbl = {1412.17004},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.956/}
}
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M. Felder. On the Irrationality of Certain Coefficients of the Alekseev-Torossian Associator. Journal of Lie Theory, Volume 27 (2017) no. 2, pp. 501-528. doi: 10.5802/jolt.956

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