\(\mathfrak{q}\)-crystal structure on primed tableaux and on signed unimodal factorizations of reduced words of type \(B\)

DOI10.4171/PRIMS/55-2-5zbMath1416.05294arXiv1803.05775WikidataQ114021401 ScholiaQ114021401MaRDI QIDQ2418849

Toya Hiroshima

Publication date: 29 May 2019

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.05775

zbMATH Keywords

queer Lie superalgebrasprimed tableauxKashiwara crystalsreduced words of type \(B\)signed unimodal factorizations

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups (quantized function algebras) and their representations (20G42)

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Bijecting hidden symmetries for skew staircase shapes ⋮ Highest weight crystals for Schur \(Q\)-functions ⋮ Queer supercrystal structure for increasing factorizations of fixed-point-free involution words ⋮ Highest weight crystals for Schur \(Q\)-functions ⋮ Combinatorial Characterization of Queer Supercrystals (Survey) ⋮ Unnamed Item ⋮ Axioms for shifted tableau crystals ⋮ Characterization of queer supercrystals ⋮ Toward a local characterization of crystals for the quantum queer superalgebra ⋮ Bumping operators and insertion algorithms for queer supercrystals ⋮ A crystal-like structure on shifted tableaux

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