%0 Journal Article %T Explicit coproduct formula for quantum group of the type $G_2$ %A Vladislav Kharchenko %A Cristian Vay %J Mathematics %D 2015 %I arXiv %X We find a coproduct formula in the explicit form for PBW-generators of the two-parameter quantum group $U_q^+(\frak{g})$ where $\frak{g}$ is a simple Lie algebra of type $G_2$. The similar formulas for quantizations of simple Lie algebras of infinite series are already known. %U http://arxiv.org/abs/1510.02820v1