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
Hauptverfasser: Khanh Nguyen Duc, Dang, Tuan Hiep, Tran Ha Son, Do Le Hai Thuy
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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.
ISSN:2331-8422
DOI:10.48550/arxiv.2110.06112