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Characters of fundamental representations of quantum affine algebras

Vyjayanthi Chari·Adriano Moura
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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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Vyjayanthi Chari, Adriano Moura. 2005-03-03. Characters of fundamental representations of quantum affine algebras. https://arxiv.org/abs/math/0503020

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