DOI: 10.1112/blms.70459 ISSN: 0024-6093

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

Chris Bowman, Robert Muth, Liron Speyer, Louise Sutton

Abstract

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

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