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• W2894654327 abstract "We survey results on mutations of Jacobian algebras, while simultaneously extending them to the more general setup of frozen Jacobian algebras, which arise naturally from dimer models with boundary and in the context of the additive categorification of cluster algebras with frozen variables via Frobenius categories. As an application, we show that the mutation of cluster-tilting objects in various such categorifications, such as the Grassmannian cluster categories of Jensen-King-Su, is compatible with Fomin-Zelevinsky mutation of quivers. We also describe an extension of this combinatorial mutation rule allowing for arrows between frozen vertices, which the quivers arising from categorifications and dimer models typically have." @default.
• W2894654327 created "2018-10-12" @default.
• W2894654327 creator A5010203994 @default.
• W2894654327 date "2020-03-01" @default.
• W2894654327 modified "2023-10-14" @default.
• W2894654327 title "Mutation of frozen Jacobian algebras" @default.
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• W2894654327 doi "https://doi.org/10.1016/j.jalgebra.2019.10.035" @default.
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