Morita equivalences between cyclotomic KLR algebras in types $\mathtt{C}_\infty$ and $\mathtt{A}_\infty$
Representation Theory
2025-11-13 v1
Abstract
We prove that level one cyclotomic 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 .
Cite
@article{arxiv.2511.08779,
title = {Morita equivalences between cyclotomic KLR algebras in types $\mathtt{C}_\infty$ and $\mathtt{A}_\infty$},
author = {Chris Bowman and Robert Muth and Liron Speyer and Louise Sutton},
journal= {arXiv preprint arXiv:2511.08779},
year = {2025}
}
Comments
16 pages