Jacobi–Trudi formula for refined dual stable Grothendieck polynomials
- Authors
- Kim, J.S.[Kim, J.S.]
- Issue Date
- May-2021
- Publisher
- Academic Press Inc.
- Keywords
- Grothendieck polynomial; Jacobi–Trudi formula; Plane partition; Young tableau
- Citation
- Journal of Combinatorial Theory. Series A, v.180
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Combinatorial Theory. Series A
- Volume
- 180
- URI
- https://scholarworks.bwise.kr/skku/handle/2021.sw.skku/25215
- DOI
- 10.1016/j.jcta.2021.105415
- ISSN
- 0097-3165
- Abstract
- 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. © 2021 Elsevier Inc.
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