Explicit coproduct formula for quantum groups of infinite series

Abstract

We find an explicit form for the coproduct formula for PBW generators of quantum groups of infinite series $U_q({\mathfrak{sp}}_{2n})$ and $U_q({\mathfrak{so}}_{2n}).$ Similar formulas for $U_q({\mathfrak{sl}}_{n+1})$ and $U_q({\mathfrak{so}}_{2n+1})$ are already known.