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This paper is on elimination of defining equations of the cyclotomic analogues, introduced by the first author, of Drinfeld's scheme of associators.
Grothendieck, A., Esquisse d’un programme
1983
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Drinfeld, V. G., On quasitriangular quasi-Hopf algebras and a group closely connected with Gal ( ℚ ¯ / ℚ ) {\rm Gal}(\overline{\mathbb{Q}}/{\mathbb{Q}})
1991
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Lochak, P., Nakamura, H. and Schneps, L., On a new version of the Grothendieck-Teichmüller group
1997
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Mac Lane, S., Categories for the working mathematician
1998
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Broadhurst, D. J., Massive 3-loop Feynman diagrams reducible to SC ∗ \rm SC^{*} primitives of algebras of the sixth root of unity
1999
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Racinet, G.; Doubles melanges des polylogarithmes multiples aux racines de l’unite
2002
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Furusho, H., Geometric and arithmetic subgroups of the Grothendieck-Teichmüller group
2003
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by same author, The multiple zeta value algebra and the stable derivation algebra
2003
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Douai, J-C. and Wojtkowiak, Z., On the Galois actions on the fundamental group of ℙ ℚ ( μ n ) ¯ 1 \ { 0 , μ n , ∞ } \mathbb{P}^{1}_{\overline{{\mathbb{Q}}(\mu_{n})}}\backslash\{0,\mu_{n},\infty\}
2004
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by same authorand Goncharov, A. B., Groupes fondamentaux motiviques de Tate mixte
2005
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Okuda, J., Duality formulas of the special values of multiple polylogarithms
2005
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Ihara, K., Kaneko, M. and Zagier, D.; Derivation and double shuffle relations for multiple zeta values
2006
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Enriquez, B., Quasi-reflection algebras and cyclotomic associators
2007
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Deligne, P., Le groupe fondemental de 𝐆 m \ μ N {\bf G}_{m}\backslash\mu_{N} , pour N = 2 , 3 , 4 , 6 N=2,3,4,6 , ou 8 8
2008
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by same author, Pentagon and hexagon equations
2010
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by same author, Double shuffle relation for associators
2011
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