The Brauer-Picard group of the representation category of finite supergroup algebras

Autores
Mombelli, Juan Martín
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We develop further the techniques presented in a previous article (M. Mombelli. Abh. Math. Semin. Univ. Hamb. 82 (2012), 173–192), to study bimodule categories over the representation categories of arbitrary finite-dimensional Hopf algebras. We compute the Brauer-Picard group of equivalence classes of exact invertible bimodule categories over the representation categories of a certain large family of pointed non-semisimple Hopf algebras, the so called supergroup algebras (N. Andruskiewitsch, P. Etingof and S. Gelaki. Michigan Math. J. 49 (2001), 277–298). To obtain this result we first give a classification of equivalence classes of exact indecomposable bimodule categories over such Hopf algebras.
Fil: Mombelli, Juan Martín. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. 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
Tensor Category
Module Category
Brauer Picard Group
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:11336/10818
Acceder
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network_name_str CONICET Digital (CONICET)
spelling The Brauer-Picard group of the representation category of finite supergroup algebrasMombelli, Juan MartínTensor CategoryModule CategoryBrauer Picard Grouphttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We develop further the techniques presented in a previous article (M. Mombelli. Abh. Math. Semin. Univ. Hamb. 82 (2012), 173–192), to study bimodule categories over the representation categories of arbitrary finite-dimensional Hopf algebras. We compute the Brauer-Picard group of equivalence classes of exact invertible bimodule categories over the representation categories of a certain large family of pointed non-semisimple Hopf algebras, the so called supergroup algebras (N. Andruskiewitsch, P. Etingof and S. Gelaki. Michigan Math. J. 49 (2001), 277–298). To obtain this result we first give a classification of equivalence classes of exact indecomposable bimodule categories over such Hopf algebras.Fil: Mombelli, Juan Martín. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. 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; ArgentinaUnión Matemática Argentina2014-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/10818Mombelli, Juan Martín; The Brauer-Picard group of the representation category of finite supergroup algebras; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 55; 1; 2-2014; 83-1170041-69321669-9637enginfo:eu-repo/semantics/altIdentifier/url/http://inmabb.criba.edu.ar/revuma/pdf/v55n1/v55n1a06.pdfinfo:eu-repo/semantics/altIdentifier/doi/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 Técnicas2025-10-22T11:10:59Zoai:ri.conicet.gov.ar:11336/10818instacron: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 11:10:59.915CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The Brauer-Picard group of the representation category of finite supergroup algebras
title The Brauer-Picard group of the representation category of finite supergroup algebras
spellingShingle The Brauer-Picard group of the representation category of finite supergroup algebras
Mombelli, Juan Martín
Tensor Category
Module Category
Brauer Picard Group
title_short The Brauer-Picard group of the representation category of finite supergroup algebras
title_full The Brauer-Picard group of the representation category of finite supergroup algebras
title_fullStr The Brauer-Picard group of the representation category of finite supergroup algebras
title_full_unstemmed The Brauer-Picard group of the representation category of finite supergroup algebras
title_sort The Brauer-Picard group of the representation category of finite supergroup algebras
dc.creator.none.fl_str_mv Mombelli, Juan Martín
author Mombelli, Juan Martín
author_facet Mombelli, Juan Martín
author_role author
dc.subject.none.fl_str_mv Tensor Category
Module Category
Brauer Picard Group
topic Tensor Category
Module Category
Brauer Picard Group
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 develop further the techniques presented in a previous article (M. Mombelli. Abh. Math. Semin. Univ. Hamb. 82 (2012), 173–192), to study bimodule categories over the representation categories of arbitrary finite-dimensional Hopf algebras. We compute the Brauer-Picard group of equivalence classes of exact invertible bimodule categories over the representation categories of a certain large family of pointed non-semisimple Hopf algebras, the so called supergroup algebras (N. Andruskiewitsch, P. Etingof and S. Gelaki. Michigan Math. J. 49 (2001), 277–298). To obtain this result we first give a classification of equivalence classes of exact indecomposable bimodule categories over such Hopf algebras.
Fil: Mombelli, Juan Martín. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. 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 develop further the techniques presented in a previous article (M. Mombelli. Abh. Math. Semin. Univ. Hamb. 82 (2012), 173–192), to study bimodule categories over the representation categories of arbitrary finite-dimensional Hopf algebras. We compute the Brauer-Picard group of equivalence classes of exact invertible bimodule categories over the representation categories of a certain large family of pointed non-semisimple Hopf algebras, the so called supergroup algebras (N. Andruskiewitsch, P. Etingof and S. Gelaki. Michigan Math. J. 49 (2001), 277–298). To obtain this result we first give a classification of equivalence classes of exact indecomposable bimodule categories over such Hopf algebras.
publishDate 2014
dc.date.none.fl_str_mv 2014-02
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/11336/10818
Mombelli, Juan Martín; The Brauer-Picard group of the representation category of finite supergroup algebras; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 55; 1; 2-2014; 83-117
0041-6932
1669-9637
url http://hdl.handle.net/11336/10818
identifier_str_mv Mombelli, Juan Martín; The Brauer-Picard group of the representation category of finite supergroup algebras; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 55; 1; 2-2014; 83-117
0041-6932
1669-9637
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://inmabb.criba.edu.ar/revuma/pdf/v55n1/v55n1a06.pdf
info:eu-repo/semantics/altIdentifier/doi/
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 Unión Matemática Argentina
publisher.none.fl_str_mv Unión Matemática Argentina
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 12.982451

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