English

On Drinfel'd associators

Classical Analysis and ODEs 2017-05-05 v1 Symbolic Computation Combinatorics

Abstract

In 1986, in order to study the linear representations of the braid group B_nB\_ncoming from the monodromy of the Knizhnik-Zamolodchikov differential equations,Drinfel'd introduced a class of formal power series Φ\Phion 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.

Cite

@article{arxiv.1705.01882,
  title  = {On Drinfel'd associators},
  author = {Gérard Duchamp and Ngoc Minh and K Penson},
  journal= {arXiv preprint arXiv:1705.01882},
  year   = {2017}
}
R2 v1 2026-06-22T19:37:18.162Z