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Subdivision and Runner Removal Theorems

Published 26 Feb 2026 in math.RT and math.CO | (2602.22494v1)

Abstract: We develop a combinatorial framework for the subdivision map -- introduced by Maksimau, Mathas and Tubbenhauer -- between the KLR(W) algebras of type $A{(1)}_{e-1}$ and type $A{(1)}_{e}$, which provides a partial categorification of the runner removal theorems.

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