A note on the equivalence of m-periodic derived categories

作者：Zhao XiaoJuan^*

来源：Science China Mathematics, 2014, 57(11): 2329-2334.

DOI：10.1007/s11425-014-4852-9

• cyclic complex
• derived category
• root category
• triangulated category

Let A and B be finite-dimensional algebras over a field k of finite global dimension. Using some results of Gorsky in "Semi-derived Hall algebras and tilting invariance of Bridgeland-Hall algebras", we prove that if A and B are derived equivalent, then the corresponding m-periodic derived categories are triangulated equivalent.

• 出版日期2014-11
• 单位四川大学