Stable Brauer-Thrall II' conjecture for finite-dimensional Jacobian algebras

Abstract

We prove that finite-dimensional Jacobian algebras associated with non-degenerate quivers with potentials satisfy the stable Brauer-Thrall II' conjecture. In particular, this implies that the brick Brauer-Thrall II' conjecture (also known as the $\tau$-Brauer-Thrall II' conjecture) holds for finite-dimensional Jacobian algebras.

12 pages