Quasisymmetric and noncommutative skew Pieri rules
Combinatorics
2018-09-03 v2
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.
Keywords
Cite
@article{arxiv.1512.04614,
title = {Quasisymmetric and noncommutative skew Pieri rules},
author = {Vasu Tewari and Stephanie van Willigenburg},
journal= {arXiv preprint arXiv:1512.04614},
year = {2018}
}
Comments
18 pages, final version to appear in Adv. in Appl. Math