Path description of type B q-characters

Mukhin, Evgeny and Young, Charles A. S. (2012) Path description of type B q-characters. Advances in Mathematics, 231 (2). pp. 1119-1150. ISSN 0001-8708

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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.