Representation type of finite quiver Hecke algebras of type $D_{\ell +1}^{(2)}$

Abstract

We give Erdmann-Nakano type theorem for the finite quiver Hecke algebras $R^{{\Lambda }_0}(\beta )$ of affine type $D_{\ell +1}^{(2)}$, which tells their representation type. If $R^{{\Lambda }_0}(\beta )$ is not of wild representation type, we may compute its stable Auslander-Reiten quiver.

arXiv comment36 pages, minor revision on special biserial algebras, to appear in Transactions of the American Mathematical Society