Calculations for Mutations of Quivers with Potential'

Abstract

From the work of Derksen, Weyman and Zelevinsky in [4], we get the definition for mutation of a quiver with potential. Stern in [l~l describes . some families of quivers corresponding to quivers with potential that can be mutated indefinitely. In this work, we use two of these ialliilies as our basic examples ofstudy and find their appropriate potentials. Because the potentials get larger and larger with the mutations, weuse two notations; first, a brief one and the second one providing useful information about the individual potentials. The results of this study offer explicit examples of quivers with potential which can be studied further