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On finite dimensional Jacobian algebras
journal contributionposted on 2019-05-20, 10:18 authored by Sonia Trepode, Yadira Valdivieso-Díaz
We show that Jacobian algebras arising from every tagged triangulation of a sphere with n-punctures, with n ≥ 5, 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.
The second author was partially supported by a CONICET doctoral fellowship.
CitationBoletín de la Sociedad Matemática Mexicana, 2017, 23 (2), pp. 653-666
Author affiliation/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics
- AM (Accepted Manuscript)