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Let$\mathfrak{g}$ be an untwisted affine Kac–Moody algebra of type$A_n^{\left(1\right)}$ ($n\ge 1$) or$D_n^{\left(1\right)}$ ($n\ge 4$), and let${\mathfrak{g}}_0$ be the underlying finite-dimensional simple Lie subalgebra of$\mathfrak{g}$. For each Dynkin quiver$Q$ of type${\mathfrak{g}}_0$, Hernandez and Leclerc introduced a tensor subcategory${\mathcal{C}}_Q$ of the category of finite-dimensional integrable$U{\text{'}}_q\left(\mathfrak{g}\right)$-modules and proved that the Grothendieck ring of${\mathcal{C}}_Q$ is isomorphic to$\mathbb{C}\left[N\right]$, the coordinate ring of the unipotent group$N$ associated with${\mathfrak{g}}_0$. We apply the generalized quantum affine Schur–Weyl duality to construct an exact functor$\mathcal{F}$ from the category of finite-dimensional graded$R$-modules to the category${\mathcal{C}}_Q$, where$R$ denotes the symmetric quiver Hecke algebra associated to${\mathfrak{g}}_0$. We prove that the homomorphism induced by the functor$\mathcal{F}$ coincides with the homomorphism of Hernandez and Leclerc and show that the functor$\mathcal{F}$ sends the simple modules to the simple modules.