Path description of type B q-characters

By E. Mukhin, Charles Young. 2011

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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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f7ffbcc74ea33bb80fe2bbd1b8f3bedfee767480