Basic quasi-Hopf algebras over cyclic groups

Autores
Angiono, Iván Ezequiel
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let m be a positive integer, not divisible by 2, 3, 5, 7. We generalize the classification of basic quasiHopf algebras over cyclic groups of prime order given in Etingof and Gelaki (2006) [11] to the case of cyclic groups of order m. To this end, we introduce a family of non-semisimple radically graded quasiHopf algebras A(H,s), constructed as subalgebras of Hopf algebras twisted by a quasi-Hopf twist, which are not twist equivalent to Hopf algebras. Any basic quasi-Hopf algebra over a cyclic group of order m is either semisimple, or is twist equivalent to a Hopf algebra or a quasi-Hopf algebra of type A(H,s).
Fil: Angiono, Iván Ezequiel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomia y Física. Sección Matemática. Grupo En Teoria de Lie; 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
Quasi-Hopf algebras
Finite tensor categories
Pointed categories
Pointed Hopf algebras
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:11336/280950
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/280950
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Basic quasi-Hopf algebras over cyclic groupsAngiono, Iván EzequielQuasi-Hopf algebrasFinite tensor categoriesPointed categoriesPointed Hopf algebrashttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let m be a positive integer, not divisible by 2, 3, 5, 7. We generalize the classification of basic quasiHopf algebras over cyclic groups of prime order given in Etingof and Gelaki (2006) [11] to the case of cyclic groups of order m. To this end, we introduce a family of non-semisimple radically graded quasiHopf algebras A(H,s), constructed as subalgebras of Hopf algebras twisted by a quasi-Hopf twist, which are not twist equivalent to Hopf algebras. Any basic quasi-Hopf algebra over a cyclic group of order m is either semisimple, or is twist equivalent to a Hopf algebra or a quasi-Hopf algebra of type A(H,s).Fil: Angiono, Iván Ezequiel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomia y Física. Sección Matemática. Grupo En Teoria de Lie; 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; ArgentinaAcademic Press Inc Elsevier Science2010-10info: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/11336/280950Angiono, Iván Ezequiel; Basic quasi-Hopf algebras over cyclic groups; Academic Press Inc Elsevier Science; Advances in Mathematics; 225; 6; 10-2010; 3545-35750001-8708CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0001870810002306info:eu-repo/semantics/altIdentifier/doi/10.1016/j.aim.2010.06.013info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-02-26T10:09:11Zoai:ri.conicet.gov.ar:11336/280950instacron: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:34982026-02-26 10:09:11.478CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Basic quasi-Hopf algebras over cyclic groups
title Basic quasi-Hopf algebras over cyclic groups
spellingShingle Basic quasi-Hopf algebras over cyclic groups
Angiono, Iván Ezequiel
Quasi-Hopf algebras
Finite tensor categories
Pointed categories
Pointed Hopf algebras
title_short Basic quasi-Hopf algebras over cyclic groups
title_full Basic quasi-Hopf algebras over cyclic groups
title_fullStr Basic quasi-Hopf algebras over cyclic groups
title_full_unstemmed Basic quasi-Hopf algebras over cyclic groups
title_sort Basic quasi-Hopf algebras over cyclic groups
dc.creator.none.fl_str_mv Angiono, Iván Ezequiel
author Angiono, Iván Ezequiel
author_facet Angiono, Iván Ezequiel
author_role author
dc.subject.none.fl_str_mv Quasi-Hopf algebras
Finite tensor categories
Pointed categories
Pointed Hopf algebras
topic Quasi-Hopf algebras
Finite tensor categories
Pointed categories
Pointed Hopf algebras
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 m be a positive integer, not divisible by 2, 3, 5, 7. We generalize the classification of basic quasiHopf algebras over cyclic groups of prime order given in Etingof and Gelaki (2006) [11] to the case of cyclic groups of order m. To this end, we introduce a family of non-semisimple radically graded quasiHopf algebras A(H,s), constructed as subalgebras of Hopf algebras twisted by a quasi-Hopf twist, which are not twist equivalent to Hopf algebras. Any basic quasi-Hopf algebra over a cyclic group of order m is either semisimple, or is twist equivalent to a Hopf algebra or a quasi-Hopf algebra of type A(H,s).
Fil: Angiono, Iván Ezequiel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomia y Física. Sección Matemática. Grupo En Teoria de Lie; 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 Let m be a positive integer, not divisible by 2, 3, 5, 7. We generalize the classification of basic quasiHopf algebras over cyclic groups of prime order given in Etingof and Gelaki (2006) [11] to the case of cyclic groups of order m. To this end, we introduce a family of non-semisimple radically graded quasiHopf algebras A(H,s), constructed as subalgebras of Hopf algebras twisted by a quasi-Hopf twist, which are not twist equivalent to Hopf algebras. Any basic quasi-Hopf algebra over a cyclic group of order m is either semisimple, or is twist equivalent to a Hopf algebra or a quasi-Hopf algebra of type A(H,s).
publishDate 2010
dc.date.none.fl_str_mv 2010-10
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/11336/280950
Angiono, Iván Ezequiel; Basic quasi-Hopf algebras over cyclic groups; Academic Press Inc Elsevier Science; Advances in Mathematics; 225; 6; 10-2010; 3545-3575
0001-8708
CONICET Digital
CONICET
url http://hdl.handle.net/11336/280950
identifier_str_mv Angiono, Iván Ezequiel; Basic quasi-Hopf algebras over cyclic groups; Academic Press Inc Elsevier Science; Advances in Mathematics; 225; 6; 10-2010; 3545-3575
0001-8708
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0001870810002306
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.aim.2010.06.013
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 Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc Elsevier Science
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_ 1858305355148165120
score 13.176822

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