Woo-Seok Jung

activity

20192026

most citedWeak Bruhat interval modules of the 0-Hecke algebra

10 citations · 11 across the 9 of their papers we have counts for

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5 papers · 1 filter

math.CO2026

Thrall's problem for two rows

JiSun Huh, Woo-Seok Jung, Jang Soo Kim +1

In this paper, we study Thrall's problem for the higher Lie modules $L_{λ}$ . Our main result provides a tableau-theoretic description of the Schur expansion of the character of $L_{λ}$ …

math.CO2023

Discovering product and coproduct Rules for Bases of $QSym_{F}$ through Supercharacters

Woo-Seok Jung, Young-Tak Oh

In this paper, we establish product and coproduct rules for three bases of the Hopf algebra $QSym_{F}$ of quasisymmetric functions over $F$ , with $F$ being either $\mathbb{C…

math.CO2022

Categorifications of $QSym$ using supercharacter theories and a new basis for $NSym_{C (q, t)}$

Woo-Seok Jung, Young-Tak Oh

Let us fix a positive integer $ν > 1$ . For each positive integer $n > 1$ , we consider a normal supercharacter theory $S_{n}$ of $G_{n}$ , where $G_{n}$ is the direct-product of $n-1…

math.CO2020

Dualities and reciprocities on graphs on surfaces

Woo-Seok Jung, Jaeseong Oh

We extend the duality between acyclic orientations and totally cyclic orientations on planar graphs to dualities on graphs on orientable surfaces by introducing boundary acyclic or…

math.CO2019

Acyclic orientation polynomials and the sink theorem for chromatic symmetric functions

Byung-Hak Hwang, Woo-Seok Jung, Kang-Ju Lee +2

We define the acyclic orientation polynomial of a graph to be the generating function for the sinks of its acyclic orientations. Stanley proved that the number of acyclic orientati…