A uniform realization of the combinatorial $R$-matrix

zbMath1335.05198arXiv1503.01765MaRDI QIDQ2803326

Cristian Lenart, Arthur Lubovsky

Publication date: 4 May 2016

Full work available at URL: https://arxiv.org/abs/1503.01765

zbMATH Keywords

energy functionKirillov-Reshetikhin crystalscombinatorial \(R\)-matrixquantum alcove model

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99) Directed graphs (digraphs), tournaments (05C20)

Related Items (4)

Generalized Weyl modules, alcove paths and Macdonald polynomials ⋮ A uniform model for Kirillov-Reshetikhin crystals. III: Nonsymmetric Macdonald polynomials at \(t = 0\) and Demazure characters ⋮ Generalized Weyl modules for twisted current algebras ⋮ A generalization of the alcove model and its applications

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