2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149565We present a formalism within which the relationship (discovered by Drinfel'd) between associators (for quasi-triangular quasi-Hopf algebras) and (a variant of) the Grothendieck-Teichmuller group becomes simple and natural, leading to a simplification of Drinfel'd's original work. In particular, we re-prove that rational associators exist and can be constructed iteratively, though the proof itself still depends on the apriori knowledge that a not-necessarily-rational associator exists.AMSLaTeX, 25 pages; several improvements and some added details. http://www.ma.huji.ac.il/~drorbnQuantum Algebratext