Abstract
We determine the representation type for block algebras of the quiver Hecke algebras $R^{\Lambda_{k}}(\beta)$ of type $C^{(1)}_\ell$ for all $k$, generalising results of Ariki-Park for $\Lambda = \Lambda_0$.
Acknowledgments
Both authors thank Professor Susumu Ariki and Professor Liron Speyer for their helpful comments and inspiring correspondence. The second author would also like to thank Professor Susumu Ariki for hosting her at Osaka University during which stay much of the research for this project was carried out.
Citation
Christopher Chung. Berta Hudak. "Representation type of level $\boldsymbol 1$ KLR algebras $\boldsymbol R^{\Lambda_{k}}(\beta)$ in type $\boldsymbol C$." Osaka J. Math. 61 (4) 509 - 528, October 2024.
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