A Pieri rule for key polynomials

zbMath1411.05273MaRDI QIDQ2632718

Danjoseph Quijada, Sami Assaf

Publication date: 15 May 2019

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

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2018//78-Assaf-Quijada.html

zbMATH Keywords

Demazure characterskey polynomialsPieri ruleKohnert diagrams

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Symmetric groups (20B30)

Related Items

Demazure crystals for Kohnert polynomials ⋮ Skew key polynomials and a generalized Littlewood-Richardson rule ⋮ Weak dual equivalence for polynomials ⋮ Monk's rule for Demazure characters of the general linear group ⋮ Skew key polynomials and the key poset

Cites Work

• An explicit construction of type A Demazure atoms
• Key polynomials and a flagged Littlewood-Richardson rule
• Kohnert tableaux and a lifting of quasi-Schur functions
• A decomposition of Schur functions and an analogue of the Robinson-Schensted-Knuth algorithm
• Longest Increasing and Decreasing Subsequences
• Désingularisation des variétés de Schubert généralisées
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