Charge on tableaux and the poset of \(k\)-shapes

DOI10.1016/j.jcta.2013.08.010zbMath1279.05076arXiv1305.2438OpenAlexW2048324526MaRDI QIDQ392800

María Elena Pinto, Luc Lapointe

Publication date: 15 January 2014

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.2438

zbMATH Keywords

tableauxsymmetric functionscharge\(k\)-Schur functions

Mathematics Subject Classification ID

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

Related Items (2)

Quantum and affine Schubert calculus and Macdonald polynomials ⋮ \(k\)-Schur expansions of Catalan functions

Cites Work

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• Affine dual equivalence and \(k\)-Schur functions
• Tableaux on \(k+1\)-cores, reduced words for affine permutations, and \(k\)-Schur expansions
• Hilbert schemes, polygraphs and the Macdonald positivity conjecture
• Affine insertion and Pieri rules for the affine Grassmannian
• Affine Stanley symmetric functions
• The poset of $k$-shapes and branching rules for $k$-Schur functions
• Schubert polynomials for the affine Grassmannian
• Quantum cohomology and the 𝑘-Schur basis
• A t-generalization for Schubert Representatives of the Affine Grassmannian

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