Tuesday, August 21, 15:00, 7.527

Hiroyuki Nakaoka (Kagoshima University), Finite gentle repetitions of gentle algebras and their Avella-Alaminos-Geiss invariants

Abstract:
We consider a repetition procedure to construct gentle algebras out of a given gentle bound quiver. I would like to show how their Avella-Alaminos-Geiss invariants are determined by those of the original one, and how this repetition can be expressed by an upper-triangular matrix algebra. I will also mention a few cases where this procedure preserves derived equivalences.