Quantum Affine Algebras and their Representations
V. Chari, A.N.Pressley
TL;DR
This paper classifies all finite-dimensional irreducible representations of quantum affine algebras using a highest weight theorem and reviews the current understanding of their structure.
Contribution
It provides a complete classification theorem for finite-dimensional irreducible representations of quantum affine algebras and surveys existing structural results.
Findings
Classification of irreducible finite-dimensional representations
Survey of current structural understanding
Highest weight theorem for quantum affine algebras
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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons