Huang Lin
Published 2023-10-08Version 1
We first investigate a connected quiver consisting of all dominant maximal weights for an integrable highest weight module in affine type C. This quiver provides an efficient method to obtain all dominant maximal weights. Then, we completely determine the representation type of cyclotomic Khovanov-Lauda-Rouquier algebras of arbitrary level in affine type C, by using the quiver we construct. We also determine the Morita equivalence classes and graded decomposition matrices of certain representation-finite and tame cyclotomic KLR algebras.
Comments: 64 pages, comments are welcome. arXiv admin note: substantial text overlap with arXiv:2302.14477
Representation type of cyclotomic quiver Hecke algebras of type $A_\ell^{(1)}$
Cyclic sieving phenomenon on dominant maximal weights over affine Kac-Moody algebras
Separable equivalence, complexity and representation type
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