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math.CO2018
Relationship Between Mullineux Involution and the Generalized Regularization
Allen Wang, Guangyi Yue
The Mullineux involution is an important map on -regular partitions that originates from the modular representation theory of . In this paper we study the Mulline…
math.CO2017
Combinatorial Wall-Crossing and the Mullineux Involution
Panagiotis Dimakis, Guangyi Yue
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 tr…
math.CO2016
Counting Independent Sets in Graphs of Hyperplane Arrangements
Nicholas Guo, Guangyi Yue
In this paper, we count the number of independent sets of a type of graph associated to some hyperplane arrangement , which is a generalization of t…