Mutation of representations and nearly Morita equivalence

Diego Velasco

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arXiv · 1510.05944

Mutation of representations and nearly Morita equivalence

Diego Velasco

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Abstract

Buan-Iyama-Reiten-Smith proved, based on Derksen-Weyman-Zelevinsky work, that the Jacobian algebra of two quivers with potential related by a QP-mutation are nearly Morita equivalent. They proved, using Axiom of Choice, that the natural functor $μ_k$ is an equivalence by showing that $μ_k$ is full, faithfull and dense. In this note we provide a quasi-inverse $μ_k^-$ to $μ_k$ without Axiom of Choice.

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BibTeX RIS

Diego Velasco. 2015-10-26. Mutation of representations and nearly Morita equivalence. https://arxiv.org/abs/1510.05944

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