Jasper Liu

collaborators

2 papers

math.CO2025

An extension of Viennot's shadow to rook placements via orbit harmonics

Jasper M. Liu, Hai Zhu

For fixed positive integers $n, m, r$ , let $Mat_{n \times m} (C)$ be the affine space of $n \times m$ complex matrices with coordinate ring $\mathbb{C}[\mathbf{x}_{n…

math.CO2024

Viennot shadows and graded module structure in colored permutation groups

Jasper M. Liu

Let $x_{n \times n}$ be a matrix of $n \times n$ variables, and let $C [x_{n \times n}]$ be the polynomial ring on these variables. Let $\mathfrak{S}_{n,r…