A new Plethystic Symmetric Function Operator and The rational Compositional Shuffle Conjecture at t=1/q

A. M. Garsia, E. Leven, N. Wallach +1

Our main result here is that the specialization at $t=1/q$ of the $Q_{km,kn}$ operators studied in [4] may be given a very simple plethystic form. This discovery yields elementary…