Quiver determines the potential up to right equivalence conjecture

Let (Q,W)(Q,W) be a non-degenerate quiver with potential, and let (Q,W)(Q',W') be mutation equivalent to (Q,W)(Q,W). Quiver-determines-potential conjecture. If QQQ'\cong Q, then (Q,W)(Q',W') is right equivalent to (Q,W)(Q,W); if QQopQ'\cong Q^{op}, then (Q,W)(Q',W') is right equivalent to (Qop,Wop)(Q^{op},W^{op}). This conjecture is presented as the potential-theoretic statement related to the auto-equivalence and cluster automorphism group conjecture for generalized cluster categories. No resolution is supplied in the source.

Sources & referencesView supporting material

Primary source

Wen Chang and Jie Zhang, “Quivers with potentials for Grassmannian cluster algebras”, arXiv:1908.10103 (2021).

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