English

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

Representation Theory 2023-10-17 v2 Quantum Algebra Rings and Algebras

Abstract

We determine the representation type for block algebras of the quiver Hecke algebras RΛk(β)R^{\Lambda_k}(\beta) of type C(1)C^{(1)}_\ell for all kk, generalising results of Ariki and Park for Λ=Λ0\Lambda = \Lambda_0.

Keywords

Cite

@article{arxiv.2304.10184,
  title  = {Representation type of level 1 KLR algebras $R^{\Lambda_k}(\beta)$ in type $C$},
  author = {Christopher Chung and Berta Hudak},
  journal= {arXiv preprint arXiv:2304.10184},
  year   = {2023}
}

Comments

22 pages

R2 v1 2026-06-28T10:12:12.493Z