Locks fit into keys: a crystal analysis of lock polynomials

DOI10.1007/s00026-020-00513-4zbMath1460.05199arXiv2001.07260OpenAlexW3091785854MaRDI QIDQ2660063

George Wang

Publication date: 29 March 2021

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

Full work available at URL: https://arxiv.org/abs/2001.07260

zbMATH Keywords

crystalskey polynomialsKohnert diagramslock polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)

Cites Work

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• An explicit construction of type A Demazure atoms
• Schubert varieties and Demazure's character formula
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• The crystal base and Littelmann's refined Demazure character formula
• Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
• A Demazure crystal construction for Schubert polynomials
• Kohnert tableaux and a lifting of quasi-Schur functions
• Crystal graphs and Young tableaux
• Crystal graphs, key tabloids, and nonsymmetric Macdonald polynomials
• Crystal Bases
• Désingularisation des variétés de Schubert généralisées

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