Candidate for the crystal \(B_{(-\infty)}\) for the queer Lie superalgebra

zbMath1436.05133arXiv1903.03236MaRDI QIDQ2306520

Travis Scrimshaw, Ben Salisbury

Publication date: 23 March 2020

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

Full work available at URL: https://arxiv.org/abs/1903.03236

zbMATH Keywords

crystalqueer Lie superalgebradecomposition tableau

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Uses Software

• SageMath

Cites Work

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• Crystal bases for the quantum queer superalgebra
• Young tableaux and crystal \(\mathcal B(\infty)\) for finite simple Lie algebras
• Highest weight modules over quantum queer superalgebra \(U_q(\mathfrak {q}(n))\)
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Crystal bases and Young tableaux
• The crystal base and Littelmann's refined Demazure character formula
• Geometric construction of crystal bases
• Characterization of queer supercrystals
• A rigged configuration model for \(B(\infty)\)
• Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux
• Crystal Bases of q-deformed Kac Modules Over the Quantum Superalgebra Uq(𝔤𝔩(m|n))
• A local characterization of simply-laced crystals
• Crystal bases for the quantum superalgebra $U_q(\mathfrak {gl}(m,n))$

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