De-Equivariantization of Hopf Algebras

Autores
Angiono, Iván Ezequiel; Galindo Martinez, Cesar Neyit; Pereira, Mariana
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the de-equivariantization of a Hopf algebra by an affine group scheme and we apply Tannakian techniques in order to realize it as the tensor category of comodules over a coquasi-bialgebra. As an application we construct a family of coquasi-Hopf algebras A(H, G, Φ) attached to a coradically-graded pointed Hopf algebra H and some extra data.
Fil: Angiono, Iván Ezequiel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomia y Física. Sección Matemática; Argentina
Fil: Galindo Martinez, Cesar Neyit. Universidad de Los Andes; Colombia
Fil: Pereira, Mariana. Universidad de la República; Uruguay
Materia
Hopf Algebras
Quasi-Hopf Algebras
Quantum Groups
Nichols Algebras
Coquasi-Hopf Algebras
Tannakian Reconstruction
Equivariantization of Tensor Categories
De-Equivariantization of Tensor Categories
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:11336/32742
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/32742
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling De-Equivariantization of Hopf AlgebrasAngiono, Iván EzequielGalindo Martinez, Cesar NeyitPereira, MarianaHopf AlgebrasQuasi-Hopf AlgebrasQuantum GroupsNichols AlgebrasCoquasi-Hopf AlgebrasTannakian ReconstructionEquivariantization of Tensor CategoriesDe-Equivariantization of Tensor Categorieshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We study the de-equivariantization of a Hopf algebra by an affine group scheme and we apply Tannakian techniques in order to realize it as the tensor category of comodules over a coquasi-bialgebra. As an application we construct a family of coquasi-Hopf algebras A(H, G, Φ) attached to a coradically-graded pointed Hopf algebra H and some extra data.Fil: Angiono, Iván Ezequiel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomia y Física. Sección Matemática; ArgentinaFil: Galindo Martinez, Cesar Neyit. Universidad de Los Andes; ColombiaFil: Pereira, Mariana. Universidad de la República; UruguaySpringer2014-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/32742Galindo Martinez, Cesar Neyit; Angiono, Iván Ezequiel; Pereira, Mariana; De-Equivariantization of Hopf Algebras; Springer; Algebras and Representation Theory; 17; 1; 2-2014; 161-1801386-923XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10468-012-9392-9info:eu-repo/semantics/altIdentifier/doi/10.1007/s10468-012-9392-9info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:07:51Zoai:ri.conicet.gov.ar:11336/32742instacron: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:34982025-09-03 10:07:51.625CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv De-Equivariantization of Hopf Algebras
title De-Equivariantization of Hopf Algebras
spellingShingle De-Equivariantization of Hopf Algebras
Angiono, Iván Ezequiel
Hopf Algebras
Quasi-Hopf Algebras
Quantum Groups
Nichols Algebras
Coquasi-Hopf Algebras
Tannakian Reconstruction
Equivariantization of Tensor Categories
De-Equivariantization of Tensor Categories
title_short De-Equivariantization of Hopf Algebras
title_full De-Equivariantization of Hopf Algebras
title_fullStr De-Equivariantization of Hopf Algebras
title_full_unstemmed De-Equivariantization of Hopf Algebras
title_sort De-Equivariantization of Hopf Algebras
dc.creator.none.fl_str_mv Angiono, Iván Ezequiel
Galindo Martinez, Cesar Neyit
Pereira, Mariana
author Angiono, Iván Ezequiel
author_facet Angiono, Iván Ezequiel
Galindo Martinez, Cesar Neyit
Pereira, Mariana
author_role author
author2 Galindo Martinez, Cesar Neyit
Pereira, Mariana
author2_role author
author
dc.subject.none.fl_str_mv Hopf Algebras
Quasi-Hopf Algebras
Quantum Groups
Nichols Algebras
Coquasi-Hopf Algebras
Tannakian Reconstruction
Equivariantization of Tensor Categories
De-Equivariantization of Tensor Categories
topic Hopf Algebras
Quasi-Hopf Algebras
Quantum Groups
Nichols Algebras
Coquasi-Hopf Algebras
Tannakian Reconstruction
Equivariantization of Tensor Categories
De-Equivariantization of Tensor Categories
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 study the de-equivariantization of a Hopf algebra by an affine group scheme and we apply Tannakian techniques in order to realize it as the tensor category of comodules over a coquasi-bialgebra. As an application we construct a family of coquasi-Hopf algebras A(H, G, Φ) attached to a coradically-graded pointed Hopf algebra H and some extra data.
Fil: Angiono, Iván Ezequiel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomia y Física. Sección Matemática; Argentina
Fil: Galindo Martinez, Cesar Neyit. Universidad de Los Andes; Colombia
Fil: Pereira, Mariana. Universidad de la República; Uruguay
description We study the de-equivariantization of a Hopf algebra by an affine group scheme and we apply Tannakian techniques in order to realize it as the tensor category of comodules over a coquasi-bialgebra. As an application we construct a family of coquasi-Hopf algebras A(H, G, Φ) attached to a coradically-graded pointed Hopf algebra H and some extra data.
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/11336/32742
Galindo Martinez, Cesar Neyit; Angiono, Iván Ezequiel; Pereira, Mariana; De-Equivariantization of Hopf Algebras; Springer; Algebras and Representation Theory; 17; 1; 2-2014; 161-180
1386-923X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/32742
identifier_str_mv Galindo Martinez, Cesar Neyit; Angiono, Iván Ezequiel; Pereira, Mariana; De-Equivariantization of Hopf Algebras; Springer; Algebras and Representation Theory; 17; 1; 2-2014; 161-180
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/url/https://link.springer.com/article/10.1007/s10468-012-9392-9
info:eu-repo/semantics/altIdentifier/doi/10.1007/s10468-012-9392-9
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 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
_version_ 1842270020744249344
score 13.13397

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