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 ...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.展开更多
文摘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.
