Derived equivalences of self‐injective 2‐Calabi–Yau tilted algebras

Abstract

AbstractConsider a ‐linear Frobenius category such that the corresponding stable category is 2‐Calabi–Yau, Hom‐finite with split idempotents. Let be maximal rigid objects with self‐injective endomorphism algebras. We will show that their endomorphism algebras and are derived equivalent. Furthermore, we will give a description of the two‐sided tilting complex that induces this derived equivalence.