Axioms for shifted tableau crystals

zbMath1414.05296arXiv1807.03384MaRDI QIDQ1740358

Jake Levinson, Maria Monks Gillespie

Publication date: 30 April 2019

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.03384

zbMATH Keywords

shifted tableauxcrystalcoplactic operatorslocal axioms

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Classical problems, Schubert calculus (14N15)

Related Items (6)

Shifted tableau crystals ⋮ Shifted Bender-Knuth moves and a shifted Berenstein-Kirillov group ⋮ Highest weight crystals for Schur \(Q\)-functions ⋮ An action of the cactus group on shifted tableau crystals ⋮ An action of the cactus group on shifted tableau crystals ⋮ A crystal-like structure on shifted tableaux

Uses Software

• SageMath

Cites Work

• Crystal bases for the quantum queer superalgebra
• A crystal-like structure on shifted tableaux
• Shifted tableaux, Schur q-functions, and a conjecture of R. Stanley
• \(\mathfrak{q}\)-crystal structure on primed tableaux and on signed unimodal factorizations of reduced words of type \(B\)
• Crystal graphs for shifted tableaux
• Crystalizing the q-analogue of universal enveloping algebras
• Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux
• Crystal Bases
• La correspondance de Robinson
• A local characterization of simply-laced crystals
• Crystal Approach to Affine Schubert Calculus
• Crystals and Schur \(P\)-positive expansions
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