Integrable modules of quantum groups.

Question

Let $\widehat{\mathfrak{g}}$ be an affine Lie algebra and $U_q(\widehat{\mathfrak{g}})$ the corresponding quantum affine algebra. Let $V$ be an integrable module of $U_q(\widehat{\mathfrak{g}})$. That is, $V$ is a direct sum of its weight spaces and $E_i, F_i$ actions on $V$ are locally nilpotent. Can $V$ be written as a direct sum of irreducible $U_q(\widehat{\mathfrak{g}})$-modules? Thank you very much.