On finite dimensional Jacobian Algebras

Published 8 Jul 2012 in math.RT and math.RA | (1207.1917v4)

Abstract: We show that Jacobian algebras arising from a sphere with $n$-punctures, with $n\geq5$, are finite dimensional algebras. We consider also a family of cyclically oriented quivers and we prove that, for any primitive potential, the associated Jacobian algebra is finite dimensional.

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