Linear recurrence relations in Q-systems and difference L-operators**This work was supported by the National Research Foundation of Korea (grant # 2014–021261) and the Australian Research Council.

Abstract

We study linear recurrence relations in the character solutions of Q-systems obtained from the Kirillov–Reshetikhin modules. We explain how known results on difference L-operators lead to a uniform construction of linear recurrences in many examples, and formulate certain conjectural properties predicted in general by this construcion.