Combinatorial Characterization of Queer Supercrystals (Survey)

DOI10.1007/978-3-030-42687-3_4zbMath1440.05217OpenAlexW3042718850MaRDI QIDQ5118661

Anne Schilling, Wencin Poh, Maria Monks Gillespie, Graham Hawkes

Publication date: 26 August 2020

Published in: Advances in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-42687-3_4

Mathematics Subject Classification ID

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

Uses Software

• SageMath
• Sage-Combinat

Cites Work

• Unnamed Item
• Unnamed Item
• Super duality and crystal bases for quantum ortho-symplectic superalgebras. II
• Crystal bases for the quantum queer superalgebra
• Quantum queer superalgebra and crystal bases
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Characterization of queer supercrystals
• Toward a local characterization of crystals for the quantum queer superalgebra
• A categorification of \(\mathfrak q(2)\)-crystals
• \(\mathfrak{q}\)-crystal structure on primed tableaux and on signed unimodal factorizations of reduced words of type \(B\)
• Crystal graphs for shifted tableaux
• Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux
• Crystal Bases
• Super Duality and Crystal Bases for Quantum Ortho-Symplectic Superalgebras
• A local characterization of simply-laced crystals
• Crystal bases for the quantum superalgebra $U_q(\mathfrak {gl}(m,n))$
• Lie superalgebras
• Crystals and Schur \(P\)-positive expansions
• Crystal analysis of type \(C\) Stanley symmetric functions

This page was built for publication: Combinatorial Characterization of Queer Supercrystals (Survey)