Quantum Affine Algebras and their Representations

1994/11/18 by Chari, V., Pressley, A. N. · 2 citations
#FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.hep-th/9411145

Abstract

We prove a highest weight theorem classifying irerducible finite--dimensional representations of quantum affine algebras and survey what is currently known about the structure of these representations.

Cited by

• On the Polytope Model and Near End node Isomorphisms of Type A Kirillov--Reshetikhin Crystals
• Langlands branching rule for type B snake modules

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• Quantum affine algebras and affine Hecke algebras
• Twisted Quantum Affine Algebras
• Representations of Quantum Affine Algebras
• Symmetric Functions and Representations of Quantum Affine Algebras
• Representations of quantum affine algebras of type B_N