TY - JOUR
T1 - Refined canonical stable Grothendieck polynomials and their duals, Part 1
AU - Hwang, Byung Hak
AU - Jang, Jihyeug
AU - Kim, Jang Soo
AU - Song, Minho
AU - Song, U. Keun
N1 - Publisher Copyright:
© 2024 Elsevier Inc.
PY - 2024/6/1
Y1 - 2024/6/1
N2 - In this paper we introduce refined canonical stable Grothendieck polynomials and their duals with two infinite sequences of parameters. These polynomials unify several generalizations of Grothendieck polynomials including canonical stable Grothendieck polynomials due to Yeliussizov, refined Grothendieck polynomials due to Chan and Pflueger, and refined dual Grothendieck polynomials due to Galashin, Liu, and Grinberg. We give Jacobi–Trudi-like formulas, combinatorial models, Schur expansions, Schur positivity, and dualities of these polynomials.
AB - In this paper we introduce refined canonical stable Grothendieck polynomials and their duals with two infinite sequences of parameters. These polynomials unify several generalizations of Grothendieck polynomials including canonical stable Grothendieck polynomials due to Yeliussizov, refined Grothendieck polynomials due to Chan and Pflueger, and refined dual Grothendieck polynomials due to Galashin, Liu, and Grinberg. We give Jacobi–Trudi-like formulas, combinatorial models, Schur expansions, Schur positivity, and dualities of these polynomials.
KW - Grothendieck polynomial
KW - Jacobi–Trudi formula
UR - https://www.scopus.com/pages/publications/85190758179
U2 - 10.1016/j.aim.2024.109670
DO - 10.1016/j.aim.2024.109670
M3 - Article
AN - SCOPUS:85190758179
SN - 0001-8708
VL - 446
JO - Advances in Mathematics
JF - Advances in Mathematics
M1 - 109670
ER -