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

2020/11/25 by Maas-Gariépy, Florence, Patrias, Rebecca
#05E05 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2011.12493

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 pairs of stable Grothendieck polynomials and pairs of K-theoretic Q-Schur functions.

Related

• Shifted Domino tableaux
• Crystals for set-valued decomposition tableaux
• Some bijective correspondences involving domino tableaux
• Special values of K-theoretic Schur P- and Q-functions
• Plactic relations for r-domino tableaux