A note on the equivalence of m-periodic derived categories |
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| Authors: | XiaoJuan Zhao |
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| Institution: | 1. Department of Mathematics, Sichuan University, Chengdu, 610064, China
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| 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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| Keywords: | cyclic complex derived category root category triangulated category |
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