A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type

DOI10.1007/s00026-023-00659-xarXiv2110.06112OpenAlexW3206481762MaRDI QIDQ6192071

Dang Tuan Hiep, Duc Khanh Nguyen, Do Le Hai Thuy, Tran Ha Son

Publication date: 11 March 2024

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.06112

zbMATH Keywords

Murnaghan-Nakayama ruleGrothendieck polynomials\(K\)-theory of Grassmannians

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Grassmannians, Schubert varieties, flag manifolds (14M15) (K)-theory of schemes (19E08)

Cites Work

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• The gerby Gopakumar-Mariño-Vafa formula
• \(K\)-theoretic analogues of factorial Schur \(P\)- and \(Q\)-functions
• Skew quantum Murnaghan-Nakayama rule
• The Murnaghan-Nakayama rule for \(k\)-Schur functions
• A Pieri rule for skew shapes
• A Murnaghan-Nakayama rule for noncommutative Schur functions
• A proof of \(K\)-theoretic Littlewood-Richardson rules by Bender-Knuth-type involutions
• On some quadratic algebras. I \(\frac{1}{2}\): Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced polynomials
• Noncommutative Schur functions and their applications
• Two Murnaghan-Nakayama rules in Schubert calculus
• A Littlewood-Richardson rule for the \(K\)-theory of Grassmannians.
• The Yang-Baxter equation, symmetric functions, and Schubert polynomials
• Combinatorial aspects of the \(K\)-theory of Grassmannians
• The loop Murnaghan-Nakayama rule
• A Combinatorial Proof of a Plethystic Murnaghan--Nakayama Rule
• T -equivariant K -theory of generalized flag varieties
• Désingularisation des variétés de Schubert généralisées
• The Characters of the Symmetric Group

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