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.
Duality in Derived Category $\mathcal O^\infty$
Relations Between the Strong Global Dimension, Complexes of Fized Size and Derived Category
Algebraic stability theorem for derived categories of zigzag persistence modules
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