Representation type of finite quiver Hecke algebras of type $A_{\ell }^{(1)}$ for arbitrary parameters

Susumu Ariki, Kazuto Iijima, Euiyong Park

We give Erdmann-Nakano type theorem for the finite quiver Hecke algebras $R^{{\Lambda }_0}(\beta )$ of affine type $A_{\ell }^{(1)}$. Note that each finite quiver Hecke algebra lies in one parame…