2000 character limit reached
On Drinfel'd associators (1705.01882v1)
Published 3 May 2017 in math.CA, cs.SC, and math.CO
Abstract: In 1986, in order to study the linear representations of the braid group $B_n$coming from the monodromy of the Knizhnik-Zamolodchikov differential equations,Drinfel'd introduced a class of formal power series $\Phi$on 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.