Jacobi-Trudi formula for refined dual stable Grothendieck polynomials

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:180

Article

Kim, Jang Soo¹ 

[1] Sungkyunkwan Univ SKKU, Dept Math, Suwon 16419, Gyeonggi Do, South Korea

关键词: Jacobi-Trudi formula;    Plane partition;    Grothendieck polynomial;    Young tableau;   

DOI  :  10.1016/j.jcta.2021.105415

来源: Elsevier

【 摘 要 】

In 2007 Lam and Pylyavskyy found a combinatorial formula for the dual stable Grothendieck polynomials, which are the dual basis of the stable Grothendieck polynomials with respect to the Hall inner product. In 2016 Galashin, Grinberg, and Liu introduced refined dual stable Grothendieck polynomials by putting additional sequence of parameters in the combinatorial formula of Lam and Pylyavskyy. Grinberg conjectured a Jacobi-Trudi type formula for refined dual stable Grothendieck polynomials. In this paper this conjecture is proved by using bijections of Lam and Pylyavskyy. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free