Geodesic
Double shuffle relation for associators
Hidekazu Furusho1
1 Graduate School of Mathematics<br/>Nagoya University<br/> Chikusa-ku<br/>Furo-cho<br/>Nagoya 464-8602<br/> Japan
Annals of mathematics, Tome 174 (2011) no. 1, pp. 341-360.

Voir la notice de l'article provenant de la source Annals of Mathematics website

It is proved that Drinfel$’$d’s pentagon equation implies the generalized double shuffle relation. As a corollary, an embedding from the Grothendieck-Teichmüller group ${\rm GRT}_1$ into Racinet’s double shuffle group ${\rm DMR}_0$ is obtained, which settles the project of Deligne-Terasoma. It is also proved that the gamma factorization formula follows from the generalized double shuffle relation.
DOI : 10.4007/annals.2011.174.1.9

Hidekazu Furusho 1

1 Graduate School of Mathematics<br/>Nagoya University<br/> Chikusa-ku<br/>Furo-cho<br/>Nagoya 464-8602<br/> Japan 
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Hidekazu Furusho. Double shuffle relation for associators. Annals of mathematics, Tome 174 (2011) no. 1, pp. 341-360. doi : 10.4007/annals.2011.174.1.9. http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.174.1.9/

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