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 $s_{\lambda }/s_{\rho }$ associated to partitions $\lambda$ and $\rho$ such that $\lambda ⊊\rho$ has a negative partial derivative at any point where all variables…