Explicit quantization of dynamical r-matrices for finite dimensional semisimple Lie algebras
Explicit quantization of dynamical r-matrices for finite dimensional semisimple Lie algebras
We provide an explicit quantization of dynamical r-matrices for semisimple Lie algebras, classified earlier by the third author, which includes the Belavin-Drinfeld r-matrices. We do so by constructing an appropriate (dynamical) twist in the tensor square of the Drinfeld-Jimbo quantum group $U_q(\mathfrak g)$, which twists the R-matrix of $U_q(\mathfrak g)$ …