A Lam--Postnikov--Pylyavskyy inequality for hybrid Grothendieck polynomials

Peter L. Guo; Mingyang Kang; Jiaji Liu

A Lam--Postnikov--Pylyavskyy inequality for hybrid Grothendieck polynomials

Combinatorics 2026-07-03 v1

Authors: Peter L. Guo , Mingyang Kang , Jiaji Liu

Abstract

We prove a multivariate Lam--Postnikov--Pylyavskyy type inequality for hybrid Grothendieck polynomials, unifying and refining results for stable and dual stable Grothendieck polynomials established by Chan--Chen--Pak--Soskin. We also conjecture extensions of the Lam--Postnikov--Pylyavskyy inequality and a conjecture by Thomas--Yong to the (equivariant) Schubert and Grothendieck polynomial setting.

Keywords

Grothendieck polynomial Lam-Postnikov-Pylyavskyy inequality Schubert polynomial equivariant stable Grothendieck polynomial

Cite

@article{arxiv.2607.03116,
  title  = {A Lam--Postnikov--Pylyavskyy inequality for hybrid Grothendieck polynomials},
  author = {Peter L. Guo and Mingyang Kang and Jiaji Liu},
  journal= {arXiv preprint arXiv:2607.03116},
  year   = {2026}
}

Comments

28 pages