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Rickard's question on standard derived equivalences

Wei Hu, Changchang Xi, Jin Zhang

math.RTarXiv:2608.09062

Abstract

In 1991 Rickard asked whether every derived equivalence of algebras over a common field is standard. We construct a series of examples of non-standard derived equivalences, and thus answer the question negatively. Moreover, we give a necessary and sufficient condition for the question to be true.

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