Symplectic fermions and a quasi-Hopf algebra structure on ${\bar{U}}_{i}sl(2)$

A. M. Gainutdinov, I. Runkel

We consider the (finite-dimensional) small quantum group ${\bar{U}}_{q}sl(2)$ at $q=i$. We show that ${\bar{U}}_{i}sl(2)$ does not allow for an R-matrix, even though $U \otimes V \cong V…