On Drinfel'd associators

05/03/2017

∙

by   Gérard Duchamp, et al.

∙

0

∙

share

In 1986, in order to study the linear representations of the braid group B_ncoming from the monodromy of the Knizhnik-Zamolodchikov differential equations,Drinfel'd introduced a class of formal power series Φon noncommutative variables. These formal series can be considered as a class of associators. We here give an interpretation of them as well as some new tools over Noncommutative Evolution Equations. Asymptotic phenomena are also discussed.