2 papers
math.CO2026
Toward Butler's conjecture
Donghyun Kim, Seung Jin Lee, Jaeseong Oh
For a partition , let be two distinct partitions such that . Butler conjectured that the divided difference $\operatorname{I}_{λ,μ}[X;q…
math.CO2025
Lusztig -weight multiplicities and Kirillov-Reshetikhin crystals
Hyeonjae Choi, Donghyun Kim, Seung Jin Lee
Lusztig -weight multiplicities extend the Kostka-Foulkes polynomials to a broader range of Lie types. In this work, we investigate these multiplicities through the framework of…