Explicit coproduct formula for quantum group of the type $G_2$

Vladislav Kharchenko, Cristian Vay

We find a coproduct formula in the explicit form for PBW-generators of the two-parameter quantum group $U_q^{+}(\mathfrak{g})$ where $\mathfrak{g}$ is a simple Lie algebra of type $G_2$. The…