Correction: Universal Quantum (semi)groups and Hopf Envelopes: Erratum

Autores
Farinati, Marco Andrés
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In cite{F} there is a statement generalizing the results in cite{FG}. Unfortunately there is a mistake in a computation that affects the main result. I don´t know if the main result in cite{F} is true or not, but I propose an alternative statement (Theorem 3.7) that was actually the main motivation in cite{FG}. This statement answers in an affirmative way the question whether the localization of the FRT construction with respect to a quantum determinant is a Hopf algebra, in case the Nichols algebra associated to the braiding is finite dimensional
Fil: Farinati, Marco Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Materia
HOPF ENVELOPE
NICHOLS ALGEBRAS
FRT CONSTRUCTION
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:11336/273184
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Correction: Universal Quantum (semi)groups and Hopf Envelopes: ErratumFarinati, Marco AndrésHOPF ENVELOPENICHOLS ALGEBRASFRT CONSTRUCTIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In cite{F} there is a statement generalizing the results in cite{FG}. Unfortunately there is a mistake in a computation that affects the main result. I don´t know if the main result in cite{F} is true or not, but I propose an alternative statement (Theorem 3.7) that was actually the main motivation in cite{FG}. This statement answers in an affirmative way the question whether the localization of the FRT construction with respect to a quantum determinant is a Hopf algebra, in case the Nichols algebra associated to the braiding is finite dimensionalFil: Farinati, Marco Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaSpringer2025-05info: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/11336/273184Farinati, Marco Andrés; Correction: Universal Quantum (semi)groups and Hopf Envelopes: Erratum; Springer; Algebras and Representation Theory; 28; 3; 5-2025; 873-8811386-923XCONICET DigitalCONICETenghttps://ri.conicet.gov.ar/handle/11336/213627info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10468-025-10329-6info:eu-repo/semantics/altIdentifier/doi/10.1007/s10468-025-10329-6info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-08-25T15:31:59Zoai:ri.conicet.gov.ar:11336/273184instacron: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:34982026-08-25 15:32:00.212CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Correction: Universal Quantum (semi)groups and Hopf Envelopes: Erratum
title Correction: Universal Quantum (semi)groups and Hopf Envelopes: Erratum
spellingShingle Correction: Universal Quantum (semi)groups and Hopf Envelopes: Erratum
Farinati, Marco Andrés
HOPF ENVELOPE
NICHOLS ALGEBRAS
FRT CONSTRUCTION
title_short Correction: Universal Quantum (semi)groups and Hopf Envelopes: Erratum
title_full Correction: Universal Quantum (semi)groups and Hopf Envelopes: Erratum
title_fullStr Correction: Universal Quantum (semi)groups and Hopf Envelopes: Erratum
title_full_unstemmed Correction: Universal Quantum (semi)groups and Hopf Envelopes: Erratum
title_sort Correction: Universal Quantum (semi)groups and Hopf Envelopes: Erratum
dc.creator.none.fl_str_mv Farinati, Marco Andrés
author Farinati, Marco Andrés
author_facet Farinati, Marco Andrés
author_role author
dc.subject.none.fl_str_mv HOPF ENVELOPE
NICHOLS ALGEBRAS
FRT CONSTRUCTION
topic HOPF ENVELOPE
NICHOLS ALGEBRAS
FRT CONSTRUCTION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In cite{F} there is a statement generalizing the results in cite{FG}. Unfortunately there is a mistake in a computation that affects the main result. I don´t know if the main result in cite{F} is true or not, but I propose an alternative statement (Theorem 3.7) that was actually the main motivation in cite{FG}. This statement answers in an affirmative way the question whether the localization of the FRT construction with respect to a quantum determinant is a Hopf algebra, in case the Nichols algebra associated to the braiding is finite dimensional
Fil: Farinati, Marco Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
description In cite{F} there is a statement generalizing the results in cite{FG}. Unfortunately there is a mistake in a computation that affects the main result. I don´t know if the main result in cite{F} is true or not, but I propose an alternative statement (Theorem 3.7) that was actually the main motivation in cite{FG}. This statement answers in an affirmative way the question whether the localization of the FRT construction with respect to a quantum determinant is a Hopf algebra, in case the Nichols algebra associated to the braiding is finite dimensional
publishDate 2025
dc.date.none.fl_str_mv 2025-05
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/11336/273184
Farinati, Marco Andrés; Correction: Universal Quantum (semi)groups and Hopf Envelopes: Erratum; Springer; Algebras and Representation Theory; 28; 3; 5-2025; 873-881
1386-923X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/273184
identifier_str_mv Farinati, Marco Andrés; Correction: Universal Quantum (semi)groups and Hopf Envelopes: Erratum; Springer; Algebras and Representation Theory; 28; 3; 5-2025; 873-881
1386-923X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://ri.conicet.gov.ar/handle/11336/213627
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10468-025-10329-6
info:eu-repo/semantics/altIdentifier/doi/10.1007/s10468-025-10329-6
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 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
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score 13.365483

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