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Endomorphism Algebras of Maximal Rigid Objects in Cluster Tubes by Yang, Dong is a scholarly article available to read on EtoBox.

What is Endomorphism Algebras of Maximal Rigid Objects in Cluster Tubes about?

Given a maximal rigid object $T$ of the cluster tube, we determine the objects finitely presented by $T$. We then use the method of Keller and Reiten to show that the endomorphism algebra of $T$ is Gorenstein and of finite representation type, as first shown by Vatne. This algebra turns out to be the Jacobian algebra of a certain quiver with potential, when the characteristic of the base field is not 3. We study how this quiver with potential changes when $T$ is mutated. We also provide a derived equivalence classification for the endomorphism algebras of maximal rigid objects.

Author

Yang, Dong

Published

2010

Language

EN