3 papers
math.CO2026
A Lam--Postnikov--Pylyavskyy inequality for hybrid Grothendieck polynomials
Peter L. Guo, Mingyang Kang, Jiaji Liu
We prove a multivariate Lam--Postnikov--Pylyavskyy type inequality for hybrid Grothendieck polynomials, unifying and refining results for stable and dual stable Grothendieck polyno…
math.CO2026
Principal specializations of Grothendieck polynomials
Haojun Bai, Feng Gu, Peter L. Guo +1
Motivated by Stanley's ``Schubert shenanigans'' paper, commendable attempts have been made to understand the principal specializations of Schubert or Grothendieck polynomials. In t…
math.CO2025
Hybrid Grothendieck polynomials
Peter L. Guo, Mingyang Kang, Jiaji Liu
For a skew shape , we define the hybrid Grothendieck polynomial $${G}_{λ/μ}(\textbf{x};\textbf{t};\textbf{w}) =\sum_{T\in \mathrm{SVRPP}(λ/μ)} \textbf{x}^{\mathrm{ircont…