Algebra and Algebraic Geometry Seminar - Khanh Nguyen Duc - A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type
Title: A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type
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.
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