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Refined canonical stable Grothendieck polynomials and their duals, Part 2

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arxiv 2404.02483 v2 pith:D6RPTMJ3 submitted 2024-04-03 math.CO

Byung-Hak Hwang , Jihyeug Jang , Jang Soo Kim , Minho Song , U-Keun Song This is my paper · ORCID
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keywords polynomialscanonicaldualsgrothendieckpartrefinedstablecombinatorial
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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.

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Cited by 1 Pith paper

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  1. Orthogonality of spin $q$-Whittaker polynomials

    math.CO 2025-02 conditional novelty 7.0 of 10

    Inhomogeneous spin q-Whittaker polynomials are orthogonal under an explicit torus scalar product, giving a basis of symmetric polynomials.

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