2021/04/09 by Byung-Hak Hwang, Jihyeug Jang, Hwang, Byung-Hak +7 · 3 citations
Mathematics · #05E05 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.2104.04251
openalex publication_date 2021/04/09 · openalex created_date 2024/04/05 · openalex updated_date 2026/07/28
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.