Algebraic Characterization of the Monodromy of Generalized Knizhnik–Zamolodchikov Equations of $B_n$ Type

The Drinfeld–Kohno theorem describes the monodromy of the Knizhnik–Zamolodchikov equation in terms of quasi-bialgebras. The present paper contains a generalization of this theorem for the case of a Knizhnik–Zamolodchikov type equation associated with the root system $B_n$. The characterization is given to those representations of the fundamental group of the complement to the singular divisor of the equation that can be realized as representations of the monodromy of the equation.