Quasisymmetric and noncommutative skew Pieri rules
arXiv:1512.04614
Abstract
In this note we derive skew Pieri rules in the spirit of Assaf-McNamara for skew quasisymmetric Schur functions using the Hopf algebraic techniques of Lam-Lauve-Sottile, and recover the original rules of Assaf-McNamara as a special case. We then apply these techniques a second time to obtain skew Pieri rules for skew noncommutative Schur functions.
18 pages, final version to appear in Adv. in Appl. Math