Young-Hun Kim

activity

20192026

most citedWeak Bruhat interval modules of the 0-Hecke algebra

10 citations · 23 across the 9 of their papers we have counts for

collaborators

9 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.RT2023★ 1 cited

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.RT2023★ 3 cited

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.RT2022★ 2 cited

Weak Bruhat interval modules for genomic Schur functions

Young-Hun Kim, Semin Yoo

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

math.RT2022★ 2 cited

Homological properties of 0-Hecke modules for dual immaculate quasisymmetric functions

Seung-Il Choi, Young-Hun Kim, Sun-Young Nam +1

Let $n$ be a nonnegative integer. For each composition $α$ of $n$ , Berg $et al.$ introduced a cyclic indecomposable $H_{n} (0)$ -module $V_{α}$ with a dual immaculate…

math.RT2021★ 10 cited

Weak Bruhat interval modules of the 0-Hecke algebra

Woo-Seok Jung, Young-Hun Kim, So-Yeon Lee +1

The purpose of this paper is to provide a unified method for dealing with various 0-Hecke modules constructed using tableaux so far. To do this, we assign a $0$ -Hecke module to eac…

math.RT2020★ 4 cited

The projective cover of tableau-cyclic indecomposable $H_{n} (0)$ -modules

Seung-Il Choi, Young-Hun Kim, Sun-Young Nam +1

Let $α$ be a composition of $n$ and $σ$ a permutation in $S_{ℓ (α)}$ . This paper concerns the projective covers of $H_{n} (0)$ -modules $V_{α}$ , $X_{α}$ and $\mathbf…

cs.IT2020

Embedding linear codes into self-orthogonal codes and their optimal minimum distances

Jon-Lark Kim, Young-Hun Kim, Nari Lee

We obtain a characterization on self-orthogonality for a given binary linear code in terms of the number of column vectors in its generator matrix, which extends the result of Bouy…

math.RT2019★ 1 cited

Cyclic sieving phenomenon on dominant maximal weights over affine Kac-Moody algebras

Young-Hun Kim, Se-jin Oh, Young-Tak Oh

We construct a (bi)cyclic sieving phenomenon on the union of dominant maximal weights for level $ℓ$ highest weight modules over an affine Kac-Moody algebra with exactly one high…