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Mutation of Cluster-Tilting Objects and Potentials

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Mutating Species with Potentials and Cluster Tilting Objects

math.RT · 2025-09-29 · unverdicted · novelty 7.0

Generalizes the Buan-Iyama-Reiten-Smith connection from quivers with potentials to species with potentials over perfect fields, with explicit descriptions of 3-preprojective algebras, Nakayama automorphisms under orbit mutations, and links to the derived Auslander-Iyama correspondence.

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  • Mutating Species with Potentials and Cluster Tilting Objects math.RT · 2025-09-29 · unverdicted · none · ref 10

    Generalizes the Buan-Iyama-Reiten-Smith connection from quivers with potentials to species with potentials over perfect fields, with explicit descriptions of 3-preprojective algebras, Nakayama automorphisms under orbit mutations, and links to the derived Auslander-Iyama correspondence.