Blocks of group algebras are derived simple

Abstract

A derived version of Maschke's theorem for finite groups is proved: the derived categories, bounded or unbounded, of all blocks of the group algebra of a finite group are simple, in the sense that they admit no nontrivial recollements. This result is independent of the characteristic of the base field.

arXiv comment8 pages

References in corpus (2)

• On torsion torsionfree triples
• Stratifications of derived categories from tilting modules over tame hereditary algebras