On the Degree of Grothendieck Polynomials
Matt Dreyer, Karola Mészáros, Avery St. Dizier · Algebraic Combinatorics · 2024
A beautiful degree formula for Grothendieck polynomials was recently given by Pechenik, Speyer, and Weigandt (2021). We provide an alternative proof of their degree formula, utilizing the climbing chain model for Grothendieck polynomials introduced by Lenart, Robinson, and Sottile (2006). Moreover for any term order satisfying x 1 x 2 > ⋯ > x n .