9

Let $(H,R)$ be a quasitriangular Hopf algebra, i.e. $R$ is a choice of an universal $R$-matrix for the Hopf algebra H. (You can find a definition of the term quasitriangular Hopf algebra on wikipedia.).
One calls the element $Q:=R_{21}\cdot R_{12} \in H \otimes H$ the monodromy element of the quasitriangular Hopf algebra $(H,R)$.

Questions

  • Why is $Q$ called that way?
  • Is it related to the monodromy group? Or to any other concept presented on here?
  • 2
    It may have something to do with the Knizhnik-Zamolodchikov equations: https://en.wikipedia.org/wiki/Knizhnik%E2%80%93Zamolodchikov_equations – Qiaochu Yuan Aug 28 '20 at 11:54

0 Answers0