English

Pieri rules for skew dual immaculate functions

Combinatorics 2025-09-09 v1

Abstract

In this paper we give Pieri rules for skew dual immaculate functions and their recently discovered row-strict counterparts. We establish our rules using a right-action analogue of the skew Littlewood-Richardson rule for Hopf algebras of Lam-Lauve-Sottile. We also obtain Pieri rules for row-strict (dual) immaculate functions.

Cite

@article{arxiv.2212.11297,
  title  = {Pieri rules for skew dual immaculate functions},
  author = {Elizabeth Niese and Sheila Sundaram and Stephanie van Willigenburg and Shiyun Wang},
  journal= {arXiv preprint arXiv:2212.11297},
  year   = {2025}
}

Comments

15 pages

R2 v1 2026-06-28T07:47:38.430Z