| NW 2.701
Vortrag: Module categories of derived and stable categories of hereditary algebras
Abstract: Let A be a finite dimensional algebra of finite global dimension.
Happel showed that the stable category of the repetitive algebra of A is triangle equivalent to the derived category of A.
In this talk, we extend this triangle equivalence to a dualizing k-variety C, which was introduced by Auslander and Reiten.
We show that the stable category of the module category of RC is triangle equivalent to the derived category of C, if the global dimension of C is finite, where RC is the repetitive category of C. Then we focus on the stable category of a finite dimensional hereditary algebra H. We establish a triangle equivalence between triangulated categories obtained from H.