Set-valued domino tableaux and shifted set-valued domino tableaux

Florence Maas-Gariépy; Rebecca Patrias

doi:10.2140/involve.2020.13.721

Abstract

We prove $K$ -theoretic and shifted $K$ -theoretic analogues of the bijection of Stanton and White between domino tableaux and pairs of semistandard tableaux. As a result, we obtain product formulas for certain pairs of stable Grothendieck polynomials and certain pairs of $K$ -theoretic $Q$ -Schur functions.

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Florence Maas-Gariépy. Rebecca Patrias. "Set-valued domino tableaux and shifted set-valued domino tableaux." Involve 13 (5) 721 - 746, 2020. https://doi.org/10.2140/involve.2020.13.721

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Received: 22 July 2018; Revised: 23 February 2020; Accepted: 10 August 2020; Published: 2020

First available in Project Euclid: 22 December 2020

MathSciNet: MR4190434

Digital Object Identifier: 10.2140/involve.2020.13.721

Subjects:

Primary: 05E05

Keywords: Lagrangian Grassmannian , Schur functions , set-valued tableaux , stable Grothendieck polynomials

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