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math.RT2005
Characters of fundamental representations of quantum affine algebras
Vyjayanthi Chari, Adriano Moura
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…
math.RT2004★ 7 cited
Characters and Blocks for Finite-Dimensional Representations of Quantum Affine Algebras
Vyjayanthi Chari, Adriano Moura
We introduce the notion of the ell-weight lattice and the ell-root lattice adapted to the study of finite-dimensional representations of quantum affine algebras. We then study the…
math.RT2004
Spectral Characters of Finite-Dimensional Representations of Affine Algebras
Vyjayanthi Chari, Adriano Moura
We introduce the notion of a spectral character for finite-dimensional representations of affine algebras. These can be viewed as a suitable q=1 limit of the elliptic characters de…