A contratableau model for K-theoretic Littlewood--Richardson rule

2025/04/03 by Siddheswar Kundu, Kundu, Siddheswar
Mathematics · #math.CO

paper · pdf · doi:10.48550/arxiv.2504.02290

Abstract

The K-theoretic Littlewood--Richardson rule, established by A. Buch, is a combinatorial method for counting the coefficients in the expansion of the product of two symmetric Grothendieck polynomials as a linear combination of symmetric Grothendieck polynomials. In this paper, we provide an explicit combinatorial formula in terms of set-valued contratableaux for the K-theoretic Littlewood--Richardson rule, generalizing the contratableau model for the classical Littlewood--Richardson rule introduced by Carré.

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