Representation type of higher level cyclotomic quiver Hecke algebras in affine type C

Abstract

We determine the representation type of cyclotomic quiver Hecke algebras of affine type C. In the tame cases, we explicitly describe their basic algebras under the assumption $\text{ch}\mathbb{k}\ne 2$, relying on the Morita invariance of cellularity.

arXiv comment134 pages; corrected a typo on page 14; differs slightly from the published version in Annals of Representation Theory

References in corpus (17)

• A diagrammatic approach to categorification of quantum groups I
• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras
• Silting mutation in triangulated categories
• Graded decomposition numbers for cyclotomic Hecke algebras
• $\tau$-tilting finite algebras, bricks and $g$-vectors
• Blocks of cyclotomic Hecke algebras
• Categorification of Highest Weight Modules via Khovanov-Lauda-Rouquier Algebras
• Crystals from categorified quantum groups
• On the center of quiver-Hecke algebras
• On the Finiteness of the Derived Equivalence Classes of some Stable Endomorphism Rings
• Specht modules for quiver Hecke algebras of type $C$
• Derived equivalence classification of Brauer graph algebras
• Tame block algebras of Hecke algebras of classical type
• Cellularity and subdivision of KLR and weighted KLRW algebras
• Content systems and deformations of cyclotomic KLR algebras of type $A$ and $C$
• Representation type of cyclotomic quiver Hecke algebras of type $A_{\ell }^{(1)}$
• $\tau$-tilting finiteness of two-point algebras II