Lattice Points in the Newton Polytopes of Key Polynomials

DOI10.1137/19M1305562MaRDI QIDQ3300755

Peter L. Guo, Neil J. Y. Fan, Sophie C. C. Sun, Simon C. Y. Peng

Publication date: 30 July 2020

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.07650

zbMATH Keywords

Newton polytopekey polynomiallattice pointflagged Weyl module

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Symmetric functions and generalizations (05E05)

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A bijection between \(K\)-Kohnert diagrams and reverse set-valued tableaux ⋮ Classifying Levi-spherical Schubert varieties ⋮ Classification of Levi-spherical Schubert varieties

Cites Work

• Noncommutative Schubert polynomials
• Bruhat interval polytopes
• An explicit construction of type A Demazure atoms
• Schubert polynomials and Bott-Samelson varieties
• Key polynomials and a flagged Littlewood-Richardson rule
• Schubert polynomials as integer point transforms of generalized permutahedra
• Nonsymmetric Macdonald polynomials and Demazure characters.
• Schubert functors and Schubert polynomials
• The full Kostant-Toda hierarchy on the positive flag variety
• Newton polytopes in algebraic combinatorics
• Refinements of the Littlewood-Richardson rule
• Désingularisation des variétés de Schubert généralisées
• An Inequality
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