Morita equivalences between cyclotomic KLR algebras in types C∞ and A∞

Abstract

We prove that level one cyclotomic KLR algebras in type C∞ are graded Morita equivalent to level two cyclotomic KLR algebras in type A∞. We hence deduce the graded decomposition numbers and full submodule structures of all level one cyclotomic KLR algebras in type C∞.

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