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Characters of fundamental representations of quantum affine algebras

Representation Theory 2007-05-23 v3 Quantum Algebra

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.

Keywords

Cite

@article{arxiv.math/0503020,
  title  = {Characters of fundamental representations of quantum affine algebras},
  author = {Vyjayanthi Chari and Adriano Moura},
  journal= {arXiv preprint arXiv:math/0503020},
  year   = {2007}
}

Comments

18 pages. References added