Quiver determines the potential up to right equivalence conjecture

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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 Q′≅QQ'\cong Q, then (Q′,W′)(Q',W') is right equivalent to (Q,W)(Q,W); if Q′≅QopQ'\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.

References

Primary source

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

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