Fundamental domains of cluster categories inside module categories
- Autores
- Cappa, Juan Angel; Platzeck, Maria Ines; Reiten, Idun
- Año de publicación
- 2012
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- Let H be a finite dimensional hereditary algebra over an algebraically closed field, and let CH be the corresponding cluster category. We give a description of the (standard) fundamental domain of CH in the bounded derived category D b(H), and of the cluster-tilting objects, in terms of the category modΓ of finitely generated modules over a suitable tilted algebra Γ. Furthermore, we apply this description to obtain (the quiver of) an arbitrary cluster-tilted algebra.
Fil: Cappa, Juan Angel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Fil: Platzeck, Maria Ines. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Fil: Reiten, Idun. Norges Teknisk-Naturvitenskapelige Universitet; Noruega - Materia
-
Cluster Categories
Fundamental Domains - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
- Repositorio
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/66339
Ver los metadatos del registro completo
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Fundamental domains of cluster categories inside module categoriesCappa, Juan AngelPlatzeck, Maria InesReiten, IdunCluster CategoriesFundamental Domainshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let H be a finite dimensional hereditary algebra over an algebraically closed field, and let CH be the corresponding cluster category. We give a description of the (standard) fundamental domain of CH in the bounded derived category D b(H), and of the cluster-tilting objects, in terms of the category modΓ of finitely generated modules over a suitable tilted algebra Γ. Furthermore, we apply this description to obtain (the quiver of) an arbitrary cluster-tilted algebra.Fil: Cappa, Juan Angel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; ArgentinaFil: Platzeck, Maria Ines. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; ArgentinaFil: Reiten, Idun. Norges Teknisk-Naturvitenskapelige Universitet; NoruegaAcademic Press Inc Elsevier Science2012-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/66339Cappa, Juan Angel; Platzeck, Maria Ines; Reiten, Idun; Fundamental domains of cluster categories inside module categories; Academic Press Inc Elsevier Science; Journal of Algebra; 358; 5-2012; 234-2490021-8693CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0021869312001251info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jalgebra.2012.03.001info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:14:19Zoai:ri.conicet.gov.ar:11336/66339instacron: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:34982025-10-22 12:14:20.052CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
| dc.title.none.fl_str_mv |
Fundamental domains of cluster categories inside module categories |
| title |
Fundamental domains of cluster categories inside module categories |
| spellingShingle |
Fundamental domains of cluster categories inside module categories Cappa, Juan Angel Cluster Categories Fundamental Domains |
| title_short |
Fundamental domains of cluster categories inside module categories |
| title_full |
Fundamental domains of cluster categories inside module categories |
| title_fullStr |
Fundamental domains of cluster categories inside module categories |
| title_full_unstemmed |
Fundamental domains of cluster categories inside module categories |
| title_sort |
Fundamental domains of cluster categories inside module categories |
| dc.creator.none.fl_str_mv |
Cappa, Juan Angel Platzeck, Maria Ines Reiten, Idun |
| author |
Cappa, Juan Angel |
| author_facet |
Cappa, Juan Angel Platzeck, Maria Ines Reiten, Idun |
| author_role |
author |
| author2 |
Platzeck, Maria Ines Reiten, Idun |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
Cluster Categories Fundamental Domains |
| topic |
Cluster Categories Fundamental Domains |
| purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| dc.description.none.fl_txt_mv |
Let H be a finite dimensional hereditary algebra over an algebraically closed field, and let CH be the corresponding cluster category. We give a description of the (standard) fundamental domain of CH in the bounded derived category D b(H), and of the cluster-tilting objects, in terms of the category modΓ of finitely generated modules over a suitable tilted algebra Γ. Furthermore, we apply this description to obtain (the quiver of) an arbitrary cluster-tilted algebra. Fil: Cappa, Juan Angel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina Fil: Platzeck, Maria Ines. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina Fil: Reiten, Idun. Norges Teknisk-Naturvitenskapelige Universitet; Noruega |
| description |
Let H be a finite dimensional hereditary algebra over an algebraically closed field, and let CH be the corresponding cluster category. We give a description of the (standard) fundamental domain of CH in the bounded derived category D b(H), and of the cluster-tilting objects, in terms of the category modΓ of finitely generated modules over a suitable tilted algebra Γ. Furthermore, we apply this description to obtain (the quiver of) an arbitrary cluster-tilted algebra. |
| publishDate |
2012 |
| dc.date.none.fl_str_mv |
2012-05 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://hdl.handle.net/11336/66339 Cappa, Juan Angel; Platzeck, Maria Ines; Reiten, Idun; Fundamental domains of cluster categories inside module categories; Academic Press Inc Elsevier Science; Journal of Algebra; 358; 5-2012; 234-249 0021-8693 CONICET Digital CONICET |
| url |
http://hdl.handle.net/11336/66339 |
| identifier_str_mv |
Cappa, Juan Angel; Platzeck, Maria Ines; Reiten, Idun; Fundamental domains of cluster categories inside module categories; Academic Press Inc Elsevier Science; Journal of Algebra; 358; 5-2012; 234-249 0021-8693 CONICET Digital CONICET |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
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info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0021869312001251 info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jalgebra.2012.03.001 |
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info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-nd/2.5/ar/ |
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openAccess |
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https://creativecommons.org/licenses/by-nc-nd/2.5/ar/ |
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application/pdf application/pdf application/pdf |
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Academic Press Inc Elsevier Science |
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Academic Press Inc Elsevier Science |
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reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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