Characters of fundamental representations of quantum affine algebras
classification
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algebrafundamentalgivepartitionsquantumrepresentationstermsaffine
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We give closed formulae for the q-characters of the fundamental representations of the quantum loop algebra of a classical Lie algebra in terms of a family of partitions satisfying some simple properties. We also give the multiplicities of the eigenvalues of the imaginary subalgebra in terms of these partitions.
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