On Associators and the Grothendieck-Teichmuller Group I

dc.creatorBar-Natan, Dror
dc.date1996-06-26
dc.date1999-06-03
dc.date.accessioned2026-07-07T09:04:57Z
dc.date.available2026-07-07T09:04:57Z
dc.descriptionWe 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.
dc.descriptionAMSLaTeX, 25 pages; several improvements and some added details. http://www.ma.huji.ac.il/~drorbn
dc.identifierhttps://arxiv.org/abs/q-alg/9606021
dc.identifierhttp://arxiv.org/abs/q-alg/9606021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149565
dc.subjectQuantum Algebra
dc.titleOn Associators and the Grothendieck-Teichmuller Group I
dc.typetext

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