Tootfinder

Mutating Species with Potentials and Cluster Tilting Objects
Christoffer S\"oderberg
https://arxiv.org/abs/2509.24707 https://arxiv.org/pdf/2509.24707…

Mutating Species with Potentials and Cluster Tilting Objects
Buan, Iyama, Reiten and Smith proved that cluster-tilting objects in triangulated 2-Calabi--Yau categories are closely connected with mutation of quivers with potentials over an algebraically closed field. We prove a more general statement where instead of working with quivers with potentials we consider species with potential over a perfect field. We describe the $3$-preprojective algebra of the tensor product of two tensor algebras of acyclic species using a species with potential. In the c…