English

Refined canonical stable Grothendieck polynomials and their duals, Part 2

Combinatorics 2025-04-23 v2

Abstract

This paper is the sequel of the paper under the same title with part 1, where we introduced refined canonical stable Grothendieck polynomials and their duals with two families of infinite parameters. In this paper we give combinatorial interpretations for these polynomials using generalizations of set-valued tableaux and reverse plane partitions, respectively. Our results extend to their flagged and skew versions.

Keywords

Cite

@article{arxiv.2404.02483,
  title  = {Refined canonical stable Grothendieck polynomials and their duals, Part 2},
  author = {Byung-Hak Hwang and Jihyeug Jang and Jang Soo Kim and Minho Song and U-Keun Song},
  journal= {arXiv preprint arXiv:2404.02483},
  year   = {2025}
}

Comments

36 pages. This is the sequel of the manuscript (arXiv:2104.04251)