Let $A$ be a quasi-bialgebra over a field $k$ and $A$-$\mathrm{mod}$ be the category of finite dimensional left $A$-modules. Since $A$-$\mathrm{mod}$ is a monoidal category, its Drinfel’d center $\mathcal{Z}(A$-$\mathrm{mod)}$ is a braided monoidal category. So we obtain quasi triangular quasi-bialgebra $D(A)$ from $\mathcal{Z}(A$-$\mathrm{mod)}$ by using tannaka duality.
Question : Is there an explicit construction of $D(A)$?
