Relating the right key to the type A filling map and minimal defining chains

DOI10.1016/j.disc.2016.04.005zbMath1339.05425OpenAlexW2395635203MaRDI QIDQ294523

Matthew J. Willis

Publication date: 16 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.disc.2016.04.005

zbMATH Keywords

scanning tableauDemazure characterfilling mapright keytype A alcove model

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Homogeneous spaces and generalizations (14M17) Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (2)

From the weak Bruhat order to crystal posets ⋮ Colored five-vertex models and Demazure atoms

Cites Work

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• A direct way to find the right key of a semistandard Young tableau
• Semistandard tableaux for Demazure characters (key polynomials) and their atoms
• From Macdonald polynomials to a charge statistic beyond type \(A\)
• On the combinatorics of crystal graphs. I: Lusztig's involution
• Mirković-Vilonen polytopes lying in a Demazure crystal and an opposite Demazure crystal
• Geometry of G/P. V
• A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
• Key polynomials and a flagged Littlewood-Richardson rule
• Straightening for standard monomials on Schubert varieties
• From the weak Bruhat order to crystal posets
• Affine Weyl Groups in K-Theory and Representation Theory

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