A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type
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 Gr...
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Veröffentlicht in: | arXiv.org 2024-05 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | 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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ISSN: | 2331-8422 |
DOI: | 10.48550/arxiv.2110.06112 |