Liftings of Nichols algebras of diagonal type III. Cartan type G2

Autores
Garcia Iglesias, Agustin; Jury Giraldi, Joao Matheus
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We complete the classification of Hopf algebras whose infinitesimal braiding is a principal Yetter–Drinfeld realization of a braided vector space of Cartan type G2 over a cosemisimple Hopf algebra. We develop a general formula for a class of liftings in which the quantum Serre relations hold. We give a detailed explanation of the procedure for finding the relations, based on the recent work of Andruskiewitsch, Angiono and Rossi Bertone.
Fil: Garcia Iglesias, Agustin. 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
Fil: Jury Giraldi, Joao Matheus. Universidade Federal do Rio Grande do Sul; Brasil
Materia
CLASSIFICATION
DIAGONAL BRAIDINGS
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:11336/59988
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/59988
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Liftings of Nichols algebras of diagonal type III. Cartan type G2Garcia Iglesias, AgustinJury Giraldi, Joao MatheusCLASSIFICATIONDIAGONAL BRAIDINGSHOPF ALGEBRAShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We complete the classification of Hopf algebras whose infinitesimal braiding is a principal Yetter–Drinfeld realization of a braided vector space of Cartan type G2 over a cosemisimple Hopf algebra. We develop a general formula for a class of liftings in which the quantum Serre relations hold. We give a detailed explanation of the procedure for finding the relations, based on the recent work of Andruskiewitsch, Angiono and Rossi Bertone.Fil: Garcia Iglesias, Agustin. 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; ArgentinaFil: Jury Giraldi, Joao Matheus. Universidade Federal do Rio Grande do Sul; BrasilElsevier2017-05info: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/11336/59988Garcia Iglesias, Agustin; Jury Giraldi, Joao Matheus; Liftings of Nichols algebras of diagonal type III. Cartan type G2; Elsevier; Journal of Algebra; 478; 5-2017; 506-5680021-8693CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jalgebra.2017.01.037info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0021869317300625info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1607.07857info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:24:19Zoai:ri.conicet.gov.ar:11336/59988instacron: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:34982025-09-10 13:24:19.404CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Liftings of Nichols algebras of diagonal type III. Cartan type G2
title Liftings of Nichols algebras of diagonal type III. Cartan type G2
spellingShingle Liftings of Nichols algebras of diagonal type III. Cartan type G2
Garcia Iglesias, Agustin
CLASSIFICATION
DIAGONAL BRAIDINGS
HOPF ALGEBRAS
title_short Liftings of Nichols algebras of diagonal type III. Cartan type G2
title_full Liftings of Nichols algebras of diagonal type III. Cartan type G2
title_fullStr Liftings of Nichols algebras of diagonal type III. Cartan type G2
title_full_unstemmed Liftings of Nichols algebras of diagonal type III. Cartan type G2
title_sort Liftings of Nichols algebras of diagonal type III. Cartan type G2
dc.creator.none.fl_str_mv Garcia Iglesias, Agustin
Jury Giraldi, Joao Matheus
author Garcia Iglesias, Agustin
author_facet Garcia Iglesias, Agustin
Jury Giraldi, Joao Matheus
author_role author
author2 Jury Giraldi, Joao Matheus
author2_role author
dc.subject.none.fl_str_mv CLASSIFICATION
DIAGONAL BRAIDINGS
HOPF ALGEBRAS
topic CLASSIFICATION
DIAGONAL BRAIDINGS
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 We complete the classification of Hopf algebras whose infinitesimal braiding is a principal Yetter–Drinfeld realization of a braided vector space of Cartan type G2 over a cosemisimple Hopf algebra. We develop a general formula for a class of liftings in which the quantum Serre relations hold. We give a detailed explanation of the procedure for finding the relations, based on the recent work of Andruskiewitsch, Angiono and Rossi Bertone.
Fil: Garcia Iglesias, Agustin. 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
Fil: Jury Giraldi, Joao Matheus. Universidade Federal do Rio Grande do Sul; Brasil
description We complete the classification of Hopf algebras whose infinitesimal braiding is a principal Yetter–Drinfeld realization of a braided vector space of Cartan type G2 over a cosemisimple Hopf algebra. We develop a general formula for a class of liftings in which the quantum Serre relations hold. We give a detailed explanation of the procedure for finding the relations, based on the recent work of Andruskiewitsch, Angiono and Rossi Bertone.
publishDate 2017
dc.date.none.fl_str_mv 2017-05
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/11336/59988
Garcia Iglesias, Agustin; Jury Giraldi, Joao Matheus; Liftings of Nichols algebras of diagonal type III. Cartan type G2; Elsevier; Journal of Algebra; 478; 5-2017; 506-568
0021-8693
CONICET Digital
CONICET
url http://hdl.handle.net/11336/59988
identifier_str_mv Garcia Iglesias, Agustin; Jury Giraldi, Joao Matheus; Liftings of Nichols algebras of diagonal type III. Cartan type G2; Elsevier; Journal of Algebra; 478; 5-2017; 506-568
0021-8693
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jalgebra.2017.01.037
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0021869317300625
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1607.07857
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 Elsevier
publisher.none.fl_str_mv Elsevier
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 12.48226

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