Level-one cyclotomic KLR algebras in type C∞ are graded Morita equivalent to level-two cyclotomic KLR algebras in type A∞, with explicit correspondences on Specht and simple modules.
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Morita equivalences between cyclotomic KLR algebras in types $\mathtt{C}_\infty$ and $\mathtt{A}_\infty$
Level-one cyclotomic KLR algebras in type C∞ are graded Morita equivalent to level-two cyclotomic KLR algebras in type A∞, with explicit correspondences on Specht and simple modules.