Quasiinvariants of $S_3$

Jason Bandlow, Gregg Musiker

Let $s_{ij}$ represent a tranposition in $S_n$. A polynomial $P$ in $\mathbb{Q}[X_n]$ is said to be $m$-quasiinvariant with respect to $S_n$ if $(x_i-x_j{)}^{2m+1}$ divides $(1-s_{ij…