Abstract
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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Chari, V., Moura, A.A. Characters of Fundamental Representations of Quantum Affine Algebras. Acta Appl Math 90, 43–63 (2006). https://doi.org/10.1007/s10440-006-9030-9
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DOI: https://doi.org/10.1007/s10440-006-9030-9