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arXiv · 2104.04251

Refined canonical stable Grothendieck polynomials and their duals, Part 1

Byung-Hak Hwang·Jihyeug Jang·Jang Soo Kim·Minho Song·U-Keun Song
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Abstract

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.

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Byung-Hak Hwang, Jihyeug Jang, Jang Soo Kim, Minho Song, U-Keun Song. 2021-04-09. Refined canonical stable Grothendieck polynomials and their duals, Part 1. https://arxiv.org/abs/2104.04251

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