Frobenius property for fusion categories of small integral dimension

Autores
Dong, Jingcheng; Natale, Sonia Lujan; Vendramin, Claudio Leandro
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let k be an algebraically closed field of characteristic zero. In this paper, we prove that fusion categories of Frobenius–Perron dimensions 84 and 90 are of Frobenius type. Combining this with previous results in the literature, we obtain that every weakly integral fusion category of Frobenius–Perron dimension less than 120 is of Frobenius type.
Fil: Dong, Jingcheng. Nanjing Agricultural University; China
Fil: Natale, Sonia Lujan. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Fil: Vendramin, Claudio Leandro. Philipps-Universität Marburg; Alemania. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Fusion Category
Frobenius Property
Frobenius-Perron Dimension
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/44079
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/44079
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network_name_str CONICET Digital (CONICET)
spelling Frobenius property for fusion categories of small integral dimensionDong, JingchengNatale, Sonia LujanVendramin, Claudio LeandroFusion CategoryFrobenius PropertyFrobenius-Perron Dimensionhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let k be an algebraically closed field of characteristic zero. In this paper, we prove that fusion categories of Frobenius–Perron dimensions 84 and 90 are of Frobenius type. Combining this with previous results in the literature, we obtain that every weakly integral fusion category of Frobenius–Perron dimension less than 120 is of Frobenius type.Fil: Dong, Jingcheng. Nanjing Agricultural University; ChinaFil: Natale, Sonia Lujan. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaFil: Vendramin, Claudio Leandro. Philipps-Universität Marburg; Alemania. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaWorld Scientific2015-03info: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/11336/44079Dong, Jingcheng; Natale, Sonia Lujan; Vendramin, Claudio Leandro; Frobenius property for fusion categories of small integral dimension; World Scientific; Journal of Algebra and its Applications; 14; 2; 3-2015; 1-17; 15500110219-49881793-6829CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1142/S0219498815500115info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1209.1726info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0219498815500115info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:29:38Zoai:ri.conicet.gov.ar:11336/44079instacron: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:34982025-09-29 10:29:39.139CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Frobenius property for fusion categories of small integral dimension
title Frobenius property for fusion categories of small integral dimension
spellingShingle Frobenius property for fusion categories of small integral dimension
Dong, Jingcheng
Fusion Category
Frobenius Property
Frobenius-Perron Dimension
title_short Frobenius property for fusion categories of small integral dimension
title_full Frobenius property for fusion categories of small integral dimension
title_fullStr Frobenius property for fusion categories of small integral dimension
title_full_unstemmed Frobenius property for fusion categories of small integral dimension
title_sort Frobenius property for fusion categories of small integral dimension
dc.creator.none.fl_str_mv Dong, Jingcheng
Natale, Sonia Lujan
Vendramin, Claudio Leandro
author Dong, Jingcheng
author_facet Dong, Jingcheng
Natale, Sonia Lujan
Vendramin, Claudio Leandro
author_role author
author2 Natale, Sonia Lujan
Vendramin, Claudio Leandro
author2_role author
author
dc.subject.none.fl_str_mv Fusion Category
Frobenius Property
Frobenius-Perron Dimension
topic Fusion Category
Frobenius Property
Frobenius-Perron Dimension
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 k be an algebraically closed field of characteristic zero. In this paper, we prove that fusion categories of Frobenius–Perron dimensions 84 and 90 are of Frobenius type. Combining this with previous results in the literature, we obtain that every weakly integral fusion category of Frobenius–Perron dimension less than 120 is of Frobenius type.
Fil: Dong, Jingcheng. Nanjing Agricultural University; China
Fil: Natale, Sonia Lujan. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Fil: Vendramin, Claudio Leandro. Philipps-Universität Marburg; Alemania. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description Let k be an algebraically closed field of characteristic zero. In this paper, we prove that fusion categories of Frobenius–Perron dimensions 84 and 90 are of Frobenius type. Combining this with previous results in the literature, we obtain that every weakly integral fusion category of Frobenius–Perron dimension less than 120 is of Frobenius type.
publishDate 2015
dc.date.none.fl_str_mv 2015-03
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/11336/44079
Dong, Jingcheng; Natale, Sonia Lujan; Vendramin, Claudio Leandro; Frobenius property for fusion categories of small integral dimension; World Scientific; Journal of Algebra and its Applications; 14; 2; 3-2015; 1-17; 1550011
0219-4988
1793-6829
CONICET Digital
CONICET
url http://hdl.handle.net/11336/44079
identifier_str_mv Dong, Jingcheng; Natale, Sonia Lujan; Vendramin, Claudio Leandro; Frobenius property for fusion categories of small integral dimension; World Scientific; Journal of Algebra and its Applications; 14; 2; 3-2015; 1-17; 1550011
0219-4988
1793-6829
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1142/S0219498815500115
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1209.1726
info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0219498815500115
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
application/pdf
dc.publisher.none.fl_str_mv World Scientific
publisher.none.fl_str_mv World Scientific
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
_version_ 1844614303347376128
score 13.070432

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