Jongyook Park

collaborators

3 papers

math.RT2026

On finite-dimensional multiplicity-free irreducible modules for a nil-DAHA of type $(C_{1}^{\lor}, C_{1})$

Jongyook Park, Jae-Ho Lee, Hyungtae Baek

Fix nonzero $r_{0}, r_{1} \in C$ . Let $H$ denote a nil-DAHA of type $(C_{1}^{\lor}, C_{1})$ defined by generators $t_{0}, u_{0}, t_{1}, u_{1}$ and relations $(t_i-r_i)(t_i-r_i…

math.CO2025

Every $Q$ -polynomial distance-regular graph is sharp over $R$

Blas Fernández, Jae-Ho Lee, Jongyook Park

Let $Γ$ denote a distance-regular graph with vertex set $X$ and diameter $D \geq 3$ . Fix a vertex $x \in X$ . Let the field $F$ be either $R$ or $C$ . Let…

math.CO2025

The nucleus of the Grassmann graph $J_{q} (N, D)$

Jae-Ho Lee, Jongyook Park, Ian Seong

Let $F_{q}$ denote a finite field with $q$ elements. Let $N$ and $D$ denote integers with $N > D \geq 1$ . Let $V$ denote an $N$ -dimensional vector space over $\mathbb…

On finite-dimensional multiplicity-free irreducible modules for a nil-DAHA of type (C1∨​,C1​)

Every Q-polynomial distance-regular graph is sharp over R

The nucleus of the Grassmann graph Jq​(N,D)

On finite-dimensional multiplicity-free irreducible modules for a nil-DAHA of type $(C_{1}^{\lor}, C_{1})$

Every $Q$ -polynomial distance-regular graph is sharp over $R$

The nucleus of the Grassmann graph $J_{q} (N, D)$