Langlands duality for finite-dimensional representations of quantum affine algebras

DOI10.1007/s11005-010-0426-0zbMath1222.17014arXiv0902.0447OpenAlexW1971560457MaRDI QIDQ539053

David Hernandez, Edward V. Frenkel'

Publication date: 27 May 2011

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.0447

zbMATH Keywords

quantum affine algebrasKirillov-Reshetikhin modulesLanglands duality

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (15)

Simply laced root systems arising from quantum affine algebras ⋮ Fractional quiver W-algebras ⋮ Quiver W-algebras ⋮ Supersymmetric Wilson loops, instantons, and deformed \(\mathcal{W}\)-algebras ⋮ Categorical relations between Langlands dual quantum affine algebras: exceptional cases ⋮ Folded quantum integrable models and deformed \(W\)-algebras ⋮ The \((q, t)\)-Cartan matrix specialized at \(q=1\) and its applications ⋮ Langlands duality for representations of quantum groups ⋮ \(t\)-quantized Cartan matrix and R-matrices for cuspidal modules over quiver Hecke algebras ⋮ Monoidal categories of modules over quantum affine algebras of type A and B ⋮ Langlands duality for representations and quantum groups at a root of unity ⋮ Langlands duality and Poisson-Lie duality via cluster theory and tropicalization ⋮ Categorical relations between Langlands dual quantum affine algebras: doubly laced types ⋮ Twisted and folded Auslander-Reiten quivers and applications to the representation theory of quantum affine algebras ⋮ On refined Chern-Simons and refined ABJ matrix models

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