摘要
Given an odd-periodic algebraic triangulated category, we compare Bridgeland's Hall algebra in the sense of Bridgeland(2013) and Gorsky(2014), and the derived Hall algebra in the sense of Ten(2006), Xiao and Xu(2008) and Xu and Chen(2013), and show that the former one is the twisted form of the tensor product of the latter one and a suitable group algebra.
Given an odd-periodic algebraic triangulated category, we compare Bridgeland＇s Hall algebra in the sense of Bridgeland（2013） and Gorsky（2014）, and the derived Hall algebra in the sense of Ten（2006）, Xiao and Xu（2008） and Xu and Chen（2013）, and show that the former one is the twisted form of the tensor product of the latter one and a suitable group algebra.
基金
supported by National Natural Science Foundation of China(Grant Nos.11301533 and 11471177)
关键词
代数学
周期
范畴
大厅
扭曲
Hall algebra derived Hall algebra odd-periodic triangulated category
