Representation type of level 1 KLR algebras $R^{{\Lambda }_k}(\beta )$ in type $C$

Abstract

We determine the representation type for block algebras of the quiver Hecke algebras $R^{{\Lambda }_k}(\beta )$ of type $C_{\ell }^{(1)}$ for all $k$, generalising results of Ariki and Park for $\Lambda ={\Lambda }_0$.

arXiv comment22 pages