Combinatorial wall-crossing and the Mullineux involution
Author(s)Dimakis, Panagiotis; Yue, Guangyi
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Abstract In this paper, we define the combinatorial wall-crossing transformation and the generalized column regularization on partitions and prove that a certain composition of these two transformations has the same effect on the one-row partition (n). As corollaries we explicitly describe the quotients of the partitions which arise in this process. We also prove that the one-row partition is the unique partition that stays regular at any step of the wall-crossing transformation.