Characters of fundamental representations of quantum affine algebras

Vyjayanthi Chari, Adriano Moura

Published 2005-03-01, updated 2005-03-03Version 3

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.