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.

12 pages, 8 figures

References in corpus (1)

• The Murnaghan-Nakayama rule for k-Schur functions

Cited by in corpus (3)

• A generalization of the Murnaghan-Nakayama rule for $K$-$k$-Schur and $k$-Schur functions
• A quantum Murnaghan--Nakayama rule for the flag manifold
• A weighted Murnaghan-Nakayama rule for $(P,w)$-partitions