Quantum dilogarithm identities and cyclic quivers
classification
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cyclicdilogarithmidentitiesquantumquiversalgebraapproachbytsko
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We study quantum dilogarithm identities for cyclic quivers following Reineke's idea via Ringel-Hall algebra approach. For any given discrete stability function for the cyclic quiver $\Delta_n$ with $n$ vertices, we obtain certain cyclic quantum dilogarithm identities of order $n$ in the sense of Bytsko and Volkov.
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