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arxiv: 1412.1638 · v2 · pith:XR4YKCDOnew · submitted 2014-12-04 · 🧮 math.QA

Linear recurrence relations in Q-systems and difference L-operators

classification 🧮 math.QA
keywords lineardifferenceoperatorsrecurrencerelationssystemscertaincharacter
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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.

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