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arXiv · 2511.08779

Morita equivalences between cyclotomic KLR algebras in types $\mathtt{C}_\infty$ and $\mathtt{A}_\infty$

Chris Bowman·Robert Muth·Liron Speyer·Louise Sutton
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Abstract

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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Chris Bowman, Robert Muth, Liron Speyer, Louise Sutton. 2025-11-11. Morita equivalences between cyclotomic KLR algebras in types $\mathtt{C}_\infty$ and $\mathtt{A}_\infty$. https://doi.org/10.1112/blms.70459

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