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Path description of type B q-characters

By E. Mukhin and C. A. S. Young

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.Comment: 32 pages, late

Topics: Mathematics - Quantum Algebra, Mathematics - Combinatorics
Year: 2011
DOI identifier: 10.1016/j.aim.2012.06.012
OAI identifier: oai:arXiv.org:1103.5873
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