Young-Tak Oh

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20232026

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4 papers · 1 filter

math.CO2026

The cyclic-induction Schur cone: Boolean sums, Ramanujan-square positivity, and integral structure

Young-Tak Oh

We study the Schur-positive cone in $\Rspace_{n,\mathbb R}\coloneqq \operatorname{span}_{\mathbb R}\{p_d^{n/d}:d\mid n\}$ through its basis $Q_{n, d} : = ℓ_{n / d}^{(1)} [p_{d}]$ ,…

math.CO2024

Equivalence classes of lower and upper descent weak Bruhat intervals

Seung-Il Choi, Sun-Young Nam, Young-Tak Oh

Let $Int (n)$ denote the set of nonempty left weak Bruhat intervals in the symmetric group $S_{n}$ . We investigate the equivalence relation $≃ D$ o…

math.CO2024

Quasisymmetric Schur $Q$ -functions and peak Young quasisymmetric Schur functions

Seung-Il Choi, Sun-Young Nam, Young-Tak Oh

In this paper, we explore the relationship between quasisymmetric Schur $Q$ -functions and peak Young quasisymmetric Schur functions. We introduce a bijection on $SPIT (α)$ …

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…

The cyclic-induction Schur cone: Boolean sums, Ramanujan-square positivity, and integral structure

Equivalence classes of lower and upper descent weak Bruhat intervals

Quasisymmetric Schur Q-functions and peak Young quasisymmetric Schur functions

Discovering product and coproduct Rules for Bases of QSymF​ through Supercharacters

Quasisymmetric Schur $Q$ -functions and peak Young quasisymmetric Schur functions

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