Young-Hun Kim

activity

20242026

collaborators

4 papers

math.CO2026

A representation-theoretic interpretation of the Schur expansion of two-row genomic Schur functions

Young-Hun Kim

Genomic Schur functions were introduced by Pechenik and Yong in connection with the $K$ -theory of Grassmannians. Pechenik proved that genomic Schur functions admit a positive expan…

math.RT2025

Regular Schur labeled skew shape posets and their 0-Hecke modules

Young-Hun Kim, So-Yeon Lee, Young-Tak Oh

Assuming Stanley's $P$ -partition conjecture holds, the regular Schur labeled skew shape posets with underlying set ${1, 2, \dots, n}$ are precisely the posets $P$ such that the $P…

math.RT2024

Poset modules of the $0$ -Hecke algebras and related quasisymmetric power sum expansions

Seung-Il Choi, Young-Hun Kim, Young-Tak Oh

Duchamp--Hivert--Thibon introduced the construction of a right $H_{n} (0)$ -module, denoted as $M_{P}$ , for any partial order $P$ on the set $[n]$ . This module is defined by specifying a…

math.RT2024

Weak Bruhat interval modules for genomic Schur functions

Young-Hun Kim, Semin Yoo

Let $I^»$ be a partition of a positive integer $n$ . The genomic Schur function $U_{I^} »$ was introduced by Pechenik--Yong in the context of the $K$ -theory of Grassmannians. Recently, P…

A representation-theoretic interpretation of the Schur expansion of two-row genomic Schur functions

Regular Schur labeled skew shape posets and their 0-Hecke modules

Poset modules of the 0-Hecke algebras and related quasisymmetric power sum expansions

Weak Bruhat interval modules for genomic Schur functions

Poset modules of the $0$ -Hecke algebras and related quasisymmetric power sum expansions