On fusion categories with few irreducible degrees

Autores
Natale, Sonia Lujan; Plavnik, Julia Yael
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We prove some results on the structure of certain classes of integral fusion categories and semisimple Hopf algebras under restrictions on the set of their irreducible degrees.
Fil: Natale, Sonia Lujan. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Plavnik, Julia Yael. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Fusion Categories
Semisimple Hopf Algebra
Irreducible Degree
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:11336/19990

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network_name_str CONICET Digital (CONICET)
spelling On fusion categories with few irreducible degreesNatale, Sonia LujanPlavnik, Julia YaelFusion CategoriesSemisimple Hopf AlgebraIrreducible Degreehttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We prove some results on the structure of certain classes of integral fusion categories and semisimple Hopf algebras under restrictions on the set of their irreducible degrees.Fil: Natale, Sonia Lujan. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Plavnik, Julia Yael. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaMathematical Sciences Publishers2012-08info: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/11336/19990Natale, Sonia Lujan; Plavnik, Julia Yael; On fusion categories with few irreducible degrees; Mathematical Sciences Publishers; Algebra Number Theory; 6; 6; 8-2012; 1171-11971937-06521944-7833CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.2140/ant.2012.6.1171info:eu-repo/semantics/altIdentifier/url/http://msp.org/ant/2012/6-6/p04.xhtmlinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1103.2340info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:36:17Zoai:ri.conicet.gov.ar:11336/19990instacron: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 10:36:17.685CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On fusion categories with few irreducible degrees
title On fusion categories with few irreducible degrees
spellingShingle On fusion categories with few irreducible degrees
Natale, Sonia Lujan
Fusion Categories
Semisimple Hopf Algebra
Irreducible Degree
title_short On fusion categories with few irreducible degrees
title_full On fusion categories with few irreducible degrees
title_fullStr On fusion categories with few irreducible degrees
title_full_unstemmed On fusion categories with few irreducible degrees
title_sort On fusion categories with few irreducible degrees
dc.creator.none.fl_str_mv Natale, Sonia Lujan
Plavnik, Julia Yael
author Natale, Sonia Lujan
author_facet Natale, Sonia Lujan
Plavnik, Julia Yael
author_role author
author2 Plavnik, Julia Yael
author2_role author
dc.subject.none.fl_str_mv Fusion Categories
Semisimple Hopf Algebra
Irreducible Degree
topic Fusion Categories
Semisimple Hopf Algebra
Irreducible Degree
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 prove some results on the structure of certain classes of integral fusion categories and semisimple Hopf algebras under restrictions on the set of their irreducible degrees.
Fil: Natale, Sonia Lujan. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Plavnik, Julia Yael. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We prove some results on the structure of certain classes of integral fusion categories and semisimple Hopf algebras under restrictions on the set of their irreducible degrees.
publishDate 2012
dc.date.none.fl_str_mv 2012-08
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/11336/19990
Natale, Sonia Lujan; Plavnik, Julia Yael; On fusion categories with few irreducible degrees; Mathematical Sciences Publishers; Algebra Number Theory; 6; 6; 8-2012; 1171-1197
1937-0652
1944-7833
CONICET Digital
CONICET
url http://hdl.handle.net/11336/19990
identifier_str_mv Natale, Sonia Lujan; Plavnik, Julia Yael; On fusion categories with few irreducible degrees; Mathematical Sciences Publishers; Algebra Number Theory; 6; 6; 8-2012; 1171-1197
1937-0652
1944-7833
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.2140/ant.2012.6.1171
info:eu-repo/semantics/altIdentifier/url/http://msp.org/ant/2012/6-6/p04.xhtml
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1103.2340
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 Mathematical Sciences Publishers
publisher.none.fl_str_mv Mathematical Sciences Publishers
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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