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

IF 1 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2026-08-01 DOI:10.1112/blms.70459

Chris Bowman, Robert Muth, Liron Speyer, Louise Sutton

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引用次数: 0

Abstract

We prove that level one cyclotomic Khovanov–Lauda–Rouquier (KLR) algebras in type $C_{\infty}$ are graded Morita equivalent to level two cyclotomic KLR algebras in type $A_{\infty}$ . We hence deduce the graded decomposition numbers and full submodule structures of all level one cyclotomic KLR algebras in type $C_{\infty}$ .