Slide multiplicity free key polynomials

DOI10.37236/9858zbMath1481.05155arXiv2009.05861OpenAlexW4210253911MaRDI QIDQ2073310

Soojin Cho, Stephanie Van Willigenburg

Publication date: 1 February 2022

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.05861

zbMATH Keywords

Schubert polynomialsLascoux-Schützenberger key polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Grassmannians, Schubert varieties, flag manifolds (14M15) Classical problems, Schubert calculus (14N15)

Cites Work

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• Multiplicity free Schur, skew Schur, and quasisymmetric Schur functions
• Permutation patterns, Stanley symmetric functions, and generalized Specht modules
• On multiplicity-free skew characters and the Schubert calculus
• Schubert polynomials, slide polynomials, Stanley symmetric functions and quasi-Yamanouchi pipe dreams
• Multiplicity free expansions of Schur \(P\)-functions
• An explicit construction of type A Demazure atoms
• Key polynomials and a flagged Littlewood-Richardson rule
• Multiplicity-free products of Schur functions
• Kohnert tableaux and a lifting of quasi-Schur functions
• On multiplicity-free products of Schur \(P\)-functions
• Nonsymmetric Macdonald polynomials and Demazure characters.
• Zero-one Schubert polynomials
• Multiplicity-Free Schubert Calculus

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