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Equivalences of derived categories for symmetric algebras

Jeremy Rickard
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Abstract

We give a characterization of the sets of objects of the derived category of a block of a finite group algebra (or other symmetric algebra) that occur as the set of images of simple modules under an equivalence of derived categories. We give some applications to proving that certain blocks have equivalent derived categories.

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Jeremy Rickard. 2002-01-08. Equivalences of derived categories for symmetric algebras. https://arxiv.org/abs/math/0201052

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