Endomorphism Algebras of Equivariant Exceptional Collections

Andreas Krug, Erik Nikolov

Published 2024-03-28Version 1

Given an action of a finite group on a triangulated category with a suitable strong exceptional collection, a construction of Elagin produces an associated strong exceptional collection on the equivariant category. We prove that the endomorphism algebra of the induced exceptional collection is the basic reduction of the skew group algebra of the endomorphism algebra of the original exceptional collection.