On the Classification of Almost Square-Free Modular Categories

Autores
Dong, Jingcheng; Natale, Sonia Lujan
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let (Formula presented.) be a modular category of Frobenius-Perron dimension dqn, where q > 2 is a prime number and d is a square-free integer. We show that (Formula presented.) must be integral and nilpotent and therefore group-theoretical. In the case where q = 2, we describe the structure of (Formula presented.) in terms of equivariantizations of group-crossed braided fusion categories.
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
Materia
BRAIDED FUSION CATEGORY
BRAIDED G-CROSSED FUSION CATEGORY
GROUP-THEORETICAL FUSION CATEGORY
MODULAR CATEGORY
TANNAKIAN CATEGORY
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:11336/59995
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/59995
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On the Classification of Almost Square-Free Modular CategoriesDong, JingchengNatale, Sonia LujanBRAIDED FUSION CATEGORYBRAIDED G-CROSSED FUSION CATEGORYGROUP-THEORETICAL FUSION CATEGORYMODULAR CATEGORYTANNAKIAN CATEGORYhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let (Formula presented.) be a modular category of Frobenius-Perron dimension dqn, where q > 2 is a prime number and d is a square-free integer. We show that (Formula presented.) must be integral and nilpotent and therefore group-theoretical. In the case where q = 2, we describe the structure of (Formula presented.) in terms of equivariantizations of group-crossed braided fusion categories.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; ArgentinaSpringer2017-11info: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/11336/59995Dong, Jingcheng; Natale, Sonia Lujan; On the Classification of Almost Square-Free Modular Categories; Springer; Algebras and Representation Theory; 11-2017; 1-161386-923XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s10468-017-9750-8info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10468-017-9750-8info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:42:53Zoai:ri.conicet.gov.ar:11336/59995instacron: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 10:42:53.957CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the Classification of Almost Square-Free Modular Categories
title On the Classification of Almost Square-Free Modular Categories
spellingShingle On the Classification of Almost Square-Free Modular Categories
Dong, Jingcheng
BRAIDED FUSION CATEGORY
BRAIDED G-CROSSED FUSION CATEGORY
GROUP-THEORETICAL FUSION CATEGORY
MODULAR CATEGORY
TANNAKIAN CATEGORY
title_short On the Classification of Almost Square-Free Modular Categories
title_full On the Classification of Almost Square-Free Modular Categories
title_fullStr On the Classification of Almost Square-Free Modular Categories
title_full_unstemmed On the Classification of Almost Square-Free Modular Categories
title_sort On the Classification of Almost Square-Free Modular Categories
dc.creator.none.fl_str_mv Dong, Jingcheng
Natale, Sonia Lujan
author Dong, Jingcheng
author_facet Dong, Jingcheng
Natale, Sonia Lujan
author_role author
author2 Natale, Sonia Lujan
author2_role author
dc.subject.none.fl_str_mv BRAIDED FUSION CATEGORY
BRAIDED G-CROSSED FUSION CATEGORY
GROUP-THEORETICAL FUSION CATEGORY
MODULAR CATEGORY
TANNAKIAN CATEGORY
topic BRAIDED FUSION CATEGORY
BRAIDED G-CROSSED FUSION CATEGORY
GROUP-THEORETICAL FUSION CATEGORY
MODULAR CATEGORY
TANNAKIAN CATEGORY
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 (Formula presented.) be a modular category of Frobenius-Perron dimension dqn, where q > 2 is a prime number and d is a square-free integer. We show that (Formula presented.) must be integral and nilpotent and therefore group-theoretical. In the case where q = 2, we describe the structure of (Formula presented.) in terms of equivariantizations of group-crossed braided fusion categories.
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
description Let (Formula presented.) be a modular category of Frobenius-Perron dimension dqn, where q > 2 is a prime number and d is a square-free integer. We show that (Formula presented.) must be integral and nilpotent and therefore group-theoretical. In the case where q = 2, we describe the structure of (Formula presented.) in terms of equivariantizations of group-crossed braided fusion categories.
publishDate 2017
dc.date.none.fl_str_mv 2017-11
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/11336/59995
Dong, Jingcheng; Natale, Sonia Lujan; On the Classification of Almost Square-Free Modular Categories; Springer; Algebras and Representation Theory; 11-2017; 1-16
1386-923X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/59995
identifier_str_mv Dong, Jingcheng; Natale, Sonia Lujan; On the Classification of Almost Square-Free Modular Categories; Springer; Algebras and Representation Theory; 11-2017; 1-16
1386-923X
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/s10468-017-9750-8
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10468-017-9750-8
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 Springer
publisher.none.fl_str_mv Springer
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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score 13.070432

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