Combinatorial Wall-Crossing and the Mullineux Involution
Combinatorics
2019-08-08 v4 Representation Theory
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 . 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.
Keywords
Cite
@article{arxiv.1711.05006,
title = {Combinatorial Wall-Crossing and the Mullineux Involution},
author = {Panagiotis Dimakis and Guangyi Yue},
journal= {arXiv preprint arXiv:1711.05006},
year = {2019}
}