Remarks on the paper “Skew Pieri rules for Hall–Littlewood functions” by Konvalinka and Lauve

Abstract

In a recent paper Konvalinka and Lauve proved several skew Pieri rules for Hall–Littlewood polynomials. In this note we show that q-analogues of these rules are encoded in a q-binomial theorem for Macdonald polynomials due to Lascoux and the author.