Morita equivalences between cyclotomic KLR algebras in types mathtt{C}_infty and mathtt{A}_infty
classification
🧮 math.RT
keywords
inftymathttalgebrascyclotomicleveltypegradedmorita
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We prove that level one cyclotomic KLR algebras in type $\mathtt{C}_\infty$ are graded Morita equivalent to level two cyclotomic KLR algebras in type $\mathtt{A}_\infty$. We hence deduce the graded decomposition numbers and full submodule structures of all level one cyclotomic KLR algebras in type $\mathtt{C}_\infty$.
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