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Tubular Jacobian Algebras
Published 17 Jun 2013 in math.RA and math.RT | (1306.3935v3)
Abstract: 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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