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math.RT2013★ 6 cited
The Bridgeland's Ringel-Hall algebra associated to an algebra with global dimension at most two
Shengfei Geng, Liangang Peng
For any finitely dimensional associative algebra with global dimension , we show that there is an embedding from the twisted Ringel-Hall algebra to the Brigeland's Ringel-H…
math.RA2013
Quantum dilogarithm identities and cyclic quivers
Changjian Fu, Liangang Peng
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 quive…