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Séries génératrices non-commutatives de polyzêtas et associateurs de Drinfeld

Abstract : We study a double shuffle relations among Multiple Zeta Values (MZVs) that are believed to be complete. We express them on the generating noncommutative power series of MZVs (aka Drinfeld's KZ associator) and show that the (scheme of) series satisfying such relations is a torsor with the same action law than Drinfeld's. Also, the associated group contains the conjectural generators of Drinfelds GRT. We finally conjecture that both torsors are actually the same, ie that double shuffle are formally equivalent to associators relations.
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https://tel.archives-ouvertes.fr/tel-00110891
Contributor : Georges Racinet <>
Submitted on : Thursday, November 2, 2006 - 12:46:50 PM
Last modification on : Thursday, January 11, 2018 - 6:12:26 AM
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Georges Racinet. Séries génératrices non-commutatives de polyzêtas et associateurs de Drinfeld. Mathématiques [math]. Université de Picardie Jules Verne, 2000. Français. ⟨tel-00110891⟩

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