On finite dimensional Jacobian algebras
- Autores
- Valdivieso Díaz, Yadira; Trepode, Sonia Elisabet
- Año de publicación
- 2015
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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.
Fil: Valdivieso Díaz, Yadira. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Trepode, Sonia Elisabet. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina - Materia
-
JACOBIAN ALGEBRAS
CLOSED SURFACES
CYCLICALLY ORIENTED QUIVERS - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/62326
Ver los metadatos del registro completo
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spelling |
On finite dimensional Jacobian algebrasValdivieso Díaz, YadiraTrepode, Sonia ElisabetJACOBIAN ALGEBRASCLOSED SURFACESCYCLICALLY ORIENTED QUIVERShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We 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.Fil: Valdivieso Díaz, Yadira. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Trepode, Sonia Elisabet. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaSociedad Matemática Mexicana2015-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/62326Valdivieso Díaz, Yadira; Trepode, Sonia Elisabet; On finite dimensional Jacobian algebras ; Sociedad Matemática Mexicana; Boletin de la Sociedad Matematica Mexicana; 23; 2; 12-2015; 653-6661405-213X2296-4495CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s40590-015-0082-6info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s40590-015-0082-6info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1207.1917info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:46:06Zoai:ri.conicet.gov.ar:11336/62326instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:46:06.883CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
On finite dimensional Jacobian algebras |
title |
On finite dimensional Jacobian algebras |
spellingShingle |
On finite dimensional Jacobian algebras Valdivieso Díaz, Yadira JACOBIAN ALGEBRAS CLOSED SURFACES CYCLICALLY ORIENTED QUIVERS |
title_short |
On finite dimensional Jacobian algebras |
title_full |
On finite dimensional Jacobian algebras |
title_fullStr |
On finite dimensional Jacobian algebras |
title_full_unstemmed |
On finite dimensional Jacobian algebras |
title_sort |
On finite dimensional Jacobian algebras |
dc.creator.none.fl_str_mv |
Valdivieso Díaz, Yadira Trepode, Sonia Elisabet |
author |
Valdivieso Díaz, Yadira |
author_facet |
Valdivieso Díaz, Yadira Trepode, Sonia Elisabet |
author_role |
author |
author2 |
Trepode, Sonia Elisabet |
author2_role |
author |
dc.subject.none.fl_str_mv |
JACOBIAN ALGEBRAS CLOSED SURFACES CYCLICALLY ORIENTED QUIVERS |
topic |
JACOBIAN ALGEBRAS CLOSED SURFACES CYCLICALLY ORIENTED QUIVERS |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
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. Fil: Valdivieso Díaz, Yadira. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Trepode, Sonia Elisabet. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina |
description |
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. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-12 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/62326 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 2296-4495 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/62326 |
identifier_str_mv |
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 2296-4495 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.1007/s40590-015-0082-6 info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s40590-015-0082-6 info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1207.1917 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Sociedad Matemática Mexicana |
publisher.none.fl_str_mv |
Sociedad Matemática Mexicana |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
reponame_str |
CONICET Digital (CONICET) |
collection |
CONICET Digital (CONICET) |
instname_str |
Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.name.fl_str_mv |
CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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1842268774394232832 |
score |
13.13397 |