Xiao Zhao
Abstract
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.
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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.
Key concepts: Mathematics, Equivalence (formal languages), Pure mathematics, Dimension (graph theory), Field (mathematics), Algebra over a field