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math.CO2025
Refinement of Hikita's -positivity theorem via Abreu--Nigro's -functions and restricted modular law
JiSun Huh, Byung-Hak Hwang, Donghyun Kim +2
We study the symmetric functions \( g_{\mm,k}(x;q) \), introduced by Abreu and Nigro for a Hessenberg function \( \mm \) and a positive integer \( k \), which refine the chromatic…
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…