What question did this study set out to answer?

The aim is to demonstrate the graded Morita equivalence between level one and level two cyclotomic KLR algebras in different types.

August 3, 2026Bulletin of the London Mathematical Society

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

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The aim is to demonstrate the graded Morita equivalence between level one and level two cyclotomic KLR algebras in different types.
Proved graded Morita equivalence between algebras
Analyzed structures of algebras in types C∞ and A∞
Deduced decomposition numbers and submodule structures.
Established that level one cyclotomic KLR algebras are equivalent to level two algebras
Provided structural insights, including decomposition numbers and submodule forms for level one algebras.

Implication

Proves graded Morita equivalences in cyclotomic KLR algebras, implying insights into their structure.

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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Cite This Study

Bowman et al. (2026) studied this question.

synapsesocial.com/papers/6a70402f75942ff7265e4fc0 https://doi.org/10.1112/blms.70459

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Implication

Proves graded Morita equivalences in cyclotomic KLR algebras, implying insights into their structure.

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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