Crystal analysis of type \(C\) Stanley symmetric functions

zbMath1385.05078arXiv1704.00889MaRDI QIDQ5916032

Kirill Paramonov, Graham Hawkes, Anne Schilling

Publication date: 20 April 2018

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

Full work available at URL: https://arxiv.org/abs/1704.00889

zbMATH Keywords

Stanley symmetric functionscrystal basesKráskiewicz insertionmixed Haiman insertionprimed tableauxunimodal tableaux

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Classical problems, Schubert calculus (14N15)

Related Items (3)

Crystal graphs for shifted tableaux ⋮ Queer supercrystals in \textsc{SageMath} ⋮ Toward a local characterization of crystals for the quantum queer superalgebra

Cites Work

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• On mixed insertion, symmetry, and shifted Young tableaux
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• Crystal bases of modified quantized enveloping algebra
• Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
• Balanced tableaux
• Reduced decompositions in Weyl groups
• Crystal Bases
• Crystal Approach to Affine Schubert Calculus
• Combinatorial 𝐵_{𝑛}-analogues of Schubert polynomials
• Schubert Polynomials for the Classical Groups
• A new Littlewood-Richardson rule for Schur 𝑃-functions
• The shifted plactic monoid

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