量子二重对数与循环箭图

Quantum dilogarithm identities and cyclic quivers

本文主要研究循环箭图的幂零表示范畴上的离散稳定性条件,并利用Ringel-Hall代数研究相应的量子二重对数恒等式.对任意给定离散稳定性条件的循环箭图△_n,本文得到了一类Bytsko-Volkov意义下的阶为n的循环量子二重对数等式.

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 An with n vertices, we obtain certain cyclic quantum dilogarithm identities of order n in the sense of Bytsko and Volkov.