Path description of type B q-characters

Published 30 Mar 2011 in math.QA and math.CO | (1103.5873v1)

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.

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