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A Murnaghan-Nakayama Rule for Grothendieck Polynomials of Grassmannian Type
Khanh Nguyen Duc (State University of New York at Albany)
Abstract
The Grothendieck polynomials appearing in the K-theory of Grassmannians are analogs of Schur polynomials. We 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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