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 $s_{\hat{I}}»/s_{\ddot{I}}$ associated to partitions $\hat{I}»$ and $\ddot{I}$ such that $\hat{I}»⊊\ddot{I}$ has a negative partial derivative at any point where all var…