Combinatorial wall-crossing and the Mullineux involution
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10801_2018_839_ReferencePDF.pdf
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Author(s)
Dimakis, Panagiotis
Yue, Guangyi
Date Issued
September 14, 2018
Publisher
Springer US
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1007/s10801-018-0839-x
