A crystal-like structure on shifted tableaux

DOI10.5802/alco.110zbMath1443.05183arXiv1706.09969OpenAlexW3033435436MaRDI QIDQ776830

Jake Levinson, Kevin Purbhoo, Maria Monks Gillespie

Publication date: 13 July 2020

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.09969

zbMATH Keywords

orthogonal Grassmanniancombinatorial crystalsshifted Young tableauxsymmetric function theory

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Grassmannians, Schubert varieties, flag manifolds (14M15) Classical problems, Schubert calculus (14N15)

Related Items (10)

Shifted tableau crystals ⋮ Schubert curves in the orthogonal Grassmannian ⋮ Shifted Bender-Knuth moves and a shifted Berenstein-Kirillov group ⋮ Littlewood-Richardson rule for generalized Schur Q-functions ⋮ Highest weight crystals for Schur \(Q\)-functions ⋮ Inequality of a class of near-ribbon skew Schur \(Q\)-functions ⋮ An action of the cactus group on shifted tableau crystals ⋮ Shifted insertion algorithms for primed words ⋮ Axioms for shifted tableau crystals ⋮ An action of the cactus group on shifted tableau crystals

Uses Software

• SageMath

Cites Work

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