A uniform realization of the combinatorial \(R\)-matrix for column shape Kirillov-Reshetikhin crystals

DOI10.1016/j.aim.2018.06.001zbMath1392.05115OpenAlexW2809504081WikidataQ129627346 ScholiaQ129627346MaRDI QIDQ725270

Arthur Lubovsky, Cristian Lenart

Publication date: 1 August 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2018.06.001

zbMATH Keywords

energy functionKirillov-Reshetikhin crystalsquantum Bruhat graphcombinatorial \(R\)-matrixquantum alcove modelquantum Yang-Baxter moves

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantum groups (quantized function algebras) and their representations (20G42)

Related Items (6)

Inverse \(K\)-Chevalley formulas for semi-infinite flag manifolds. II: Arbitrary weights in ADE type ⋮ New structure on the quantum alcove model with applications to representation theory and Schubert calculus ⋮ Uniform description of the rigged configuration bijection ⋮ On combinatorial models for affine crystals ⋮ Generalized quantum Yang-Baxter moves and their application to Schubert calculus ⋮ On higher level Kirillov-Reshetikhin crystals, Demazure crystals, and related uniform models

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