Quantum subgroups of simple twisted quantum groups at roots of one

Autores
García, Gastón Andrés; Gutierrez, Javier Alberto
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let G be a connected, simply connected simple complex algebraic group and let ∈ be a primitive ℓth root of unity with ℓ odd and coprime with 3 if G is of type G₂. We determine all Hopf algebra quotients of the twisted multiparameter quantum function algebra Oφ (G) introduced by Costantini and Varagnolo. This extends the results of Andruskiewitsch and the first author, where the untwisted case is treated.
Facultad de Ciencias Exactas
Materia
Ciencias Exactas
Matemática
Algebra
Hopf algebra quotients
multiparameter quantum function
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/126598

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network_name_str SEDICI (UNLP)
spelling Quantum subgroups of simple twisted quantum groups at roots of oneGarcía, Gastón AndrésGutierrez, Javier AlbertoCiencias ExactasMatemáticaAlgebraHopf algebra quotientsmultiparameter quantum functionLet G be a connected, simply connected simple complex algebraic group and let ∈ be a primitive ℓth root of unity with ℓ odd and coprime with 3 if G is of type G₂. We determine all Hopf algebra quotients of the twisted multiparameter quantum function algebra O<sup>φ</sup><sub>∈</sub> (G) introduced by Costantini and Varagnolo. This extends the results of Andruskiewitsch and the first author, where the untwisted case is treated.Facultad de Ciencias Exactas2018-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf3609-3637http://sedici.unlp.edu.ar/handle/10915/126598enginfo:eu-repo/semantics/altIdentifier/issn/0002-9947info:eu-repo/semantics/altIdentifier/issn/1088-6850info:eu-repo/semantics/altIdentifier/doi/10.1090/tran/7078info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:30:17Zoai:sedici.unlp.edu.ar:10915/126598Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:30:18.279SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Quantum subgroups of simple twisted quantum groups at roots of one
title Quantum subgroups of simple twisted quantum groups at roots of one
spellingShingle Quantum subgroups of simple twisted quantum groups at roots of one
García, Gastón Andrés
Ciencias Exactas
Matemática
Algebra
Hopf algebra quotients
multiparameter quantum function
title_short Quantum subgroups of simple twisted quantum groups at roots of one
title_full Quantum subgroups of simple twisted quantum groups at roots of one
title_fullStr Quantum subgroups of simple twisted quantum groups at roots of one
title_full_unstemmed Quantum subgroups of simple twisted quantum groups at roots of one
title_sort Quantum subgroups of simple twisted quantum groups at roots of one
dc.creator.none.fl_str_mv García, Gastón Andrés
Gutierrez, Javier Alberto
author García, Gastón Andrés
author_facet García, Gastón Andrés
Gutierrez, Javier Alberto
author_role author
author2 Gutierrez, Javier Alberto
author2_role author
dc.subject.none.fl_str_mv Ciencias Exactas
Matemática
Algebra
Hopf algebra quotients
multiparameter quantum function
topic Ciencias Exactas
Matemática
Algebra
Hopf algebra quotients
multiparameter quantum function
dc.description.none.fl_txt_mv Let G be a connected, simply connected simple complex algebraic group and let ∈ be a primitive ℓth root of unity with ℓ odd and coprime with 3 if G is of type G₂. We determine all Hopf algebra quotients of the twisted multiparameter quantum function algebra O<sup>φ</sup><sub>∈</sub> (G) introduced by Costantini and Varagnolo. This extends the results of Andruskiewitsch and the first author, where the untwisted case is treated.
Facultad de Ciencias Exactas
description Let G be a connected, simply connected simple complex algebraic group and let ∈ be a primitive ℓth root of unity with ℓ odd and coprime with 3 if G is of type G₂. We determine all Hopf algebra quotients of the twisted multiparameter quantum function algebra O<sup>φ</sup><sub>∈</sub> (G) introduced by Costantini and Varagnolo. This extends the results of Andruskiewitsch and the first author, where the untwisted case is treated.
publishDate 2018
dc.date.none.fl_str_mv 2018-05
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/126598
url http://sedici.unlp.edu.ar/handle/10915/126598
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0002-9947
info:eu-repo/semantics/altIdentifier/issn/1088-6850
info:eu-repo/semantics/altIdentifier/doi/10.1090/tran/7078
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
3609-3637
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
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reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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