On finite GK-dimensional Nichols algebras of diagonal type

This paper contributes to the proof of the conjecture posed in [5], stating that a Nichols algebra of diagonal type with finite Gelfand-Kirillov dimension has a finite (generalized) root system. We prove the conjecture assuming that the rank is 3 or that the braiding is of Cartan type.

Detalles Bibliográficos
Autores: Angiono, Ivan|||0000-0001-8767-1648, García Iglesias, Agustín
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:280967
Acceso en línea:https://ddd.uab.cat/record/280967
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6722311
Access Level:acceso abierto
Palabra clave:Hopf algebras
Nichols algebras
Gelfand-kirillov dimension
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spelling On finite GK-dimensional Nichols algebras of diagonal typerank 3 and Cartan typeAngiono, Ivan|||0000-0001-8767-1648García Iglesias, AgustínHopf algebrasNichols algebrasGelfand-kirillov dimensionThis paper contributes to the proof of the conjecture posed in [5], stating that a Nichols algebra of diagonal type with finite Gelfand-Kirillov dimension has a finite (generalized) root system. We prove the conjecture assuming that the rank is 3 or that the braiding is of Cartan type. 22023-01-0120232023-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/280967https://dx.doi.org/urn:doi:10.5565/PUBLMAT6722311reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2809672026-06-06T12:50:31Z
dc.title.none.fl_str_mv On finite GK-dimensional Nichols algebras of diagonal type
rank 3 and Cartan type
title On finite GK-dimensional Nichols algebras of diagonal type
spellingShingle On finite GK-dimensional Nichols algebras of diagonal type
Angiono, Ivan|||0000-0001-8767-1648
Hopf algebras
Nichols algebras
Gelfand-kirillov dimension
title_short On finite GK-dimensional Nichols algebras of diagonal type
title_full On finite GK-dimensional Nichols algebras of diagonal type
title_fullStr On finite GK-dimensional Nichols algebras of diagonal type
title_full_unstemmed On finite GK-dimensional Nichols algebras of diagonal type
title_sort On finite GK-dimensional Nichols algebras of diagonal type
dc.creator.none.fl_str_mv Angiono, Ivan|||0000-0001-8767-1648
García Iglesias, Agustín
author Angiono, Ivan|||0000-0001-8767-1648
author_facet Angiono, Ivan|||0000-0001-8767-1648
García Iglesias, Agustín
author_role author
author2 García Iglesias, Agustín
author2_role author
dc.subject.none.fl_str_mv Hopf algebras
Nichols algebras
Gelfand-kirillov dimension
topic Hopf algebras
Nichols algebras
Gelfand-kirillov dimension
description This paper contributes to the proof of the conjecture posed in [5], stating that a Nichols algebra of diagonal type with finite Gelfand-Kirillov dimension has a finite (generalized) root system. We prove the conjecture assuming that the rank is 3 or that the braiding is of Cartan type.
publishDate 2023
dc.date.none.fl_str_mv 2
2023-01-01
2023
2023-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/280967
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6722311
url https://ddd.uab.cat/record/280967
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6722311
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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