Path description of type B q-characters

Details Path description of type B q-characters Path description of type B q-characters

2011-03-30

arxiv.org/abs/1103.5873v1

Mathematics

Quantum Algebra

32 pages, latex

Scientific paper

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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