Equivalences of derived categories for selfinjective algebras

Rickard proved in his paper [J. Rickard, Equivalences of derived categories for symmetric algebras, J. Algebra 257 (2002) 460–481] that if Λ is a finite-dimensional symmetric k-algebra and if there is a set of objects in D(mod(Λ)) satisfying some conditions, then there is a derived equivalence taking these objects to the simple modules of another algebra Γ. In this paper we generalize Rickardʹs results to finite-dimensional selfinjective k-algebras by adding an extra condition. We use the techniques of Rickardʹs paper in this paper.