Skew polynomials and extended Schur functions

zbMath1436.05118MaRDI QIDQ2306483

Sami Assaf, Dominic Searles

Publication date: 23 March 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2019//31.html

zbMATH Keywords

Schubert polynomialsDemazure charactersmonomial slide polynomials

Mathematics Subject Classification ID

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

Related Items (3)

Demazure crystals for Kohnert polynomials ⋮ Weak dual equivalence for polynomials ⋮ Extended Schur functions and 0-Hecke modules

Cites Work

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• A Pieri rule for skew shapes
• Schubert polynomials, slide polynomials, Stanley symmetric functions and quasi-Yamanouchi pipe dreams
• A Schur-like basis of \(\mathsf{NSym}\) defined by a Pieri rule
• Percentage-avoiding, northwest shapes and peelable tableaux
• Diagram rules for the generation of Schubert polynomials
• Key polynomials and a flagged Littlewood-Richardson rule
• Kohnert tableaux and a lifting of quasi-Schur functions
• Tableau models for Schubert polynomials
• Schubert functors and Schubert polynomials
• Specht series for column-convex diagrams
• Désingularisation des variétés de Schubert généralisées

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