Combinatorics of regular \(A_{2}\)-crystals

DOI10.1016/j.jalgebra.2006.11.035zbMath1158.17004OpenAlexW1986557165MaRDI QIDQ876347

Gleb A. Koshevoy, Vladimir I. Danilov, Alexander V. Karzanov

Publication date: 18 April 2007

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.11.035

zbMATH Keywords

graphcoloringcrystalsimply laced algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items

Crystal structures on FFLV polytopes, Crystal pop-stack sorting and type \(A\) crystal lattices, From the weak Bruhat order to crystal posets, Partition models for the crystal of the basic \(U_{q}(\widehat {\mathfrak{sl}}_{n})\)-module, Combinatorics of canonical bases revisited: string data in type \textsf{A}, Assembling crystals of type A, The crossing model for regular \(A_n\)-crystals, \(B_2\)-crystals: axioms, structure, models, Crystals, regularisation and the Mullineux map

Cites Work

• \(B_2\)-crystals: axioms, structure, models
• A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
• Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
• Paths and root operators in representation theory
• Crystalizing the q-analogue of universal enveloping algebras
• AFFINE CRYSTALS AND VERTEX MODELS
• A local characterization of simply-laced crystals
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