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arXiv 2013-06-17 DOI 10.1007/s10468-014-9486-7 0 views

Tubular Jacobian Algebras

Geiss, Christof · González-Silva, Raúl

Original · EN

We show that the endomorphism ring of each cluster tilting object in a tubular cluster category is a finite dimensional Jacobian algebra which is tame of polynomial growth. Moreover, these Jacobian algebras are given by a quiver with a non-degenerate potential and mutation of cluster tilting objects is compatible with mutation of QPs.

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