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arXiv · 1308.0478

The representation type of Jacobian algebras

Christof Geiß·Daniel Labardini-Fragoso·Jan Schröer
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Abstract

We show that the representation type of the Jacobian algebra P(Q,S) associated to a 2-acyclic quiver Q with non-degenerate potential S is invariant under QP-mutations. We prove that, apart from very few exceptions, P(Q,S) is of tame representation type if and only if Q is of finite mutation type. We also show that most quivers Q of finite mutation type admit only one non-degenerate potential up to weak right equivalence. In this case, the isomorphism class of P(Q,S) depends only on Q and not on S.

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BibTeXRIS

Christof Geiß, Daniel Labardini-Fragoso, Jan Schröer. 2016-01-05. The representation type of Jacobian algebras. https://doi.org/10.1016/j.aim.2015.09.038

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