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The K-theoretic Littlewood–Richardson rule due to A. Buch describes the product structure constants for the Grothendieck polynomials of Grassmannian type. We present a simple self-contained proof of the rule by generalizing Stembridge’s cancelation argument which was applied for the classical Littlewood–Richardson rule.

A proof of $K$-theoretic Littlewood-Richardson rules by Bender-Knuth-type involutions