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Quantum dilogarithm identities and cyclic quivers

Published 23 May 2013 in math.RA and math.RT | (1305.5395v1)

Abstract: 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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