Schur positivity of difference of products of derived Schur polynomials

Julius Ross, Kuang-Yu Wu

To any Schur polynomial $s_{\lambda }$ one can associated its derived polynomials $s_{\lambda }(i)$ $i=0,\dots ,|\lambda |$ by the rule $$s_{\lambda }(x_1+t,\dots ,x_n+t)=\sum _i{s}_{\lambda }^{(i)}(x_1,\dots ,x_n)t^i.$$…