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On the stable equivalences between finite tensor categories (2203.10549v2)
Published 20 Mar 2022 in math.QA, math.CT, and math.RT
Abstract: We aim to study Morita theory for tensor triangulated categories. For two finite tensor categories having no projective simple objects, we prove that their stable equivalence induced by an exact $\Bbbk$-linear monoidal functor can be lifted to a tensor equivalence under some certain conditions.
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