Vol. 13, No. 5, 2020

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

Florence Maas-Gariépy and Rebecca Patrias

Vol. 13 (2020), No. 5, 721–746
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.

Keywords
set-valued tableaux, Schur functions, stable Grothendieck polynomials, Lagrangian Grassmannian
Mathematical Subject Classification 2010
Primary: 05E05
Milestones
Received: 22 July 2018
Revised: 23 February 2020
Accepted: 10 August 2020
Published: 5 December 2020

Communicated by Kenneth S. Berenhaut
Authors
Florence Maas-Gariépy
Laboratoire de Combinatoire et d’Informatique Mathématique
Université du Québec à Montréal
Montréal, QC
Canada
Rebecca Patrias
Laboratoire de Combinatoire et d’Informatique Mathématique
Université du Québec à Montréal
Montréal, QC
Canada