Christopher W. Seaton

collaborators

2 papers

math.CO2025

The partial derivative of ratios of Schur polynomials and applications to symplectic quotients

Hans-Christian Herbig, Daniel Herden, Harper Kolehmainen +1

We show that a ratio of Schur polynomials $s_{λ} / s_{ρ}$ associated to partitions $λ$ and $ρ$ such that $λ ⊊ ρ$ has a negative partial derivative at any point where all variables…

math.RT2024

Hilbert measures on orbit spaces of coregular $O_{m}$ -modules

Hans-Christian Herbig, Christopher W. Seaton, Lillian Whitesell

We construct canonical measures, referred to as Hilbert measures, on orbit spaces of classical coregular representations of the orthogonal groups $O_{m}$ . We observe t…

The partial derivative of ratios of Schur polynomials and applications to symplectic quotients

Hilbert measures on orbit spaces of coregular Om​-modules

Hilbert measures on orbit spaces of coregular $O_{m}$ -modules