The KKK Schur–Weyl duality conjecture for Dynkin quivers of type E

Let $Q$ be a Dynkin quiver of finite type $E_n$. The functor $\mathcal{F}_Q^{(1)}$ is determined by $(U_q'(E_n^{(1)}),\phi_Q^{-1})$. KKK Schur–Weyl duality conjecture. The functor $\mathcal{F}_Q^{(1)}$ enjoys the properties in the stated theorem on generalized quantum affine Schur–Weyl duality. This conjecture extends the corresponding construction from types $A_n$ and $D_n$ to exceptional type $E_n$; the supplied text gives no resolution status.