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A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type (2110.06112v4)
Published 12 Oct 2021 in math.CO, math.AG, math.KT, and math.RT
Abstract: We consider the Grothendieck polynomials appearing in the K-theory of Grassmannians, which are analogs of Schur polynomials. This paper aims to establish a version of the Murnaghan-Nakayama rule for Grothendieck polynomials of the Grassmannian type. This rule allows us to express the product of a Grothendieck polynomial with a power sum symmetric polynomial into a linear combination of other Grothendieck polynomials.