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math.CO2025
Properties of plactic monoid centralizers
Bruce E. Sagan, Chenchen Zhao
Let u be a word over the positive integers P. Motivated by a question involving crystal graphs, Sagan and Wilson initiated the study of the centralizer of u in the plactic monoid w…
math.CO2024
Centralizers in the plactic monoid
Bruce E. Sagan, Alexander N. Wilson
Let u be a word over the positive integers. Motivated in part by a question from representation theory, we study the centralizer set of u which is C(u) = {w | uw is Knuth-equivalen…