On the equivalence of module categories over a group-theoretical fusion category

Autores
Natale, Sonia Lujan
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We give a necessary and sufficient condition in terms of group cohomology for two indecomposable module categories over a group-theoretical fusion category C to be equivalent. This concludes the classification of such module categories.
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
FUSION CATEGORY
GROUP-THEORETICAL FUSION CATEGORY
MODULE 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:11336/59989
Acceder
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network_name_str CONICET Digital (CONICET)
spelling On the equivalence of module categories over a group-theoretical fusion categoryNatale, Sonia LujanFUSION CATEGORYGROUP-THEORETICAL FUSION CATEGORYMODULE CATEGORYhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We give a necessary and sufficient condition in terms of group cohomology for two indecomposable module categories over a group-theoretical fusion category C to be equivalent. This concludes the classification of such module categories.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; ArgentinaNatl Acad Sci Ukraine2017-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/59989Natale, Sonia Lujan; On the equivalence of module categories over a group-theoretical fusion category; Natl Acad Sci Ukraine; Symmetry, Integrability And Geometry; 13; 42; 6-2017; 1-91815-0659CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.3842/SIGMA.2017.042info:eu-repo/semantics/altIdentifier/url/https://www.emis.de/journals/SIGMA/2017/042/info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-05T09:43:47Zoai:ri.conicet.gov.ar:11336/59989instacron: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:34982025-11-05 09:43:47.854CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the equivalence of module categories over a group-theoretical fusion category
title On the equivalence of module categories over a group-theoretical fusion category
spellingShingle On the equivalence of module categories over a group-theoretical fusion category
Natale, Sonia Lujan
FUSION CATEGORY
GROUP-THEORETICAL FUSION CATEGORY
MODULE CATEGORY
title_short On the equivalence of module categories over a group-theoretical fusion category
title_full On the equivalence of module categories over a group-theoretical fusion category
title_fullStr On the equivalence of module categories over a group-theoretical fusion category
title_full_unstemmed On the equivalence of module categories over a group-theoretical fusion category
title_sort On the equivalence of module categories over a group-theoretical fusion category
dc.creator.none.fl_str_mv Natale, Sonia Lujan
author Natale, Sonia Lujan
author_facet Natale, Sonia Lujan
author_role author
dc.subject.none.fl_str_mv FUSION CATEGORY
GROUP-THEORETICAL FUSION CATEGORY
MODULE CATEGORY
topic FUSION CATEGORY
GROUP-THEORETICAL FUSION CATEGORY
MODULE 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 We give a necessary and sufficient condition in terms of group cohomology for two indecomposable module categories over a group-theoretical fusion category C to be equivalent. This concludes the classification of such module categories.
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 We give a necessary and sufficient condition in terms of group cohomology for two indecomposable module categories over a group-theoretical fusion category C to be equivalent. This concludes the classification of such module categories.
publishDate 2017
dc.date.none.fl_str_mv 2017-06
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/11336/59989
Natale, Sonia Lujan; On the equivalence of module categories over a group-theoretical fusion category; Natl Acad Sci Ukraine; Symmetry, Integrability And Geometry; 13; 42; 6-2017; 1-9
1815-0659
CONICET Digital
CONICET
url http://hdl.handle.net/11336/59989
identifier_str_mv Natale, Sonia Lujan; On the equivalence of module categories over a group-theoretical fusion category; Natl Acad Sci Ukraine; Symmetry, Integrability And Geometry; 13; 42; 6-2017; 1-9
1815-0659
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.3842/SIGMA.2017.042
info:eu-repo/semantics/altIdentifier/url/https://www.emis.de/journals/SIGMA/2017/042/
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 Natl Acad Sci Ukraine
publisher.none.fl_str_mv Natl Acad Sci Ukraine
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 13.087074

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