Path description of type B q-characters
arXiv:1103.5873 · doi:10.1016/j.aim.2012.06.012
Abstract
We give a set of sufficient conditions for a Laurent polynomial to be the q-character of a finite-dimensional irreducible representation of a quantum affine group. We use this result to obtain an explicit path description of q-characters for a class of modules in type B. In particular, this proves a conjecture of Kuniba-Ohta-Suzuki.
32 pages, latex