On finite dimensional Jacobian algebras

Valdivieso Díaz, Yadira; Trepode, Sonia Elisabet

Artículos de revistas

Fecha

2015-12

Registro en:

Valdivieso Díaz, Yadira; Trepode, Sonia Elisabet; On finite dimensional Jacobian algebras ; Sociedad Matemática Mexicana; Boletin de la Sociedad Matematica Mexicana; 23; 2; 12-2015; 653-666

1405-213X

http://hdl.handle.net/11336/62326

2296-4495

CONICET Digital

CONICET

http://repositorioslatinoamericanos.uchile.cl/handle/2250/1851902

Autor

Valdivieso Díaz, Yadira

Trepode, Sonia Elisabet

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

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.

Materias

JACOBIAN ALGEBRAS

CLOSED SURFACES

CYCLICALLY ORIENTED QUIVERS

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