Set-valued domino tableaux and shifted set-valued domino tableaux
Florence Maas-Gariépy, Rebecca Patrias
Abstract
Florence Maas-Gariépy, Rebecca Patrias
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.
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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.
Key concepts: Domino, Bijection, Combinatorics, Set (abstract data type), Mathematics, Product (mathematics), Young tableau, Property (philosophy)