Specializations of Grothendieck polynomials

Abstract

Let v,w ∈ Sn be permutations and let Sw(x; y) and Gw(a; b) denote the double Schubert and Grothendieck polynomials of Lascoux and Schutzenberger [11]. The goal of this note is to prove a formula for the specializations of these polynomials to different rearrangements of the same set of variables.