Kohnert posets and polynomials of northeast diagrams
Combinatorics
2026-04-09 v2
Abstract
Kohnert polynomials and their associated posets are combinatorial objects with deep geometric and representation theoretic connections, generalizing both Schubert polynomials and type A Demazure characters. In this paper, we explore the properties of Kohnert polynomials and their posets indexed by northeast diagrams. We give separate classifications of the bounded, ranked, and multiplicity-free Kohnert posets for northeast diagrams, each of which can be computed in polynomial time with respect to the number of cells in the diagram. As an initial application, we specialize these classifications to simple criteria in the case of lock diagrams.
Cite
@article{arxiv.2501.18030,
title = {Kohnert posets and polynomials of northeast diagrams},
author = {Aram Bingham and Beth Anne Castellano and Kimberly P. Hadaway and Reuven Hodges and Yichen Ma and Alex Moon and Kyle Salois},
journal= {arXiv preprint arXiv:2501.18030},
year = {2026}
}
Comments
27 pages