Automorphisms and isomorphisms of quantum generalized Weyl algebras

Autores
Suárez-Alvarez, Mariano; Vivas, Quimey
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We classify up to isomorphism the quantum generalized Weyl algebras and determine their automorphism groups in all cases in a uniform way, including the case where the parameter q is a root of unity, thereby completing the results obtained by Bavula and Jordan (2001) [5] and Richard and Solotar (2006) [12].
Fil: Suárez-Alvarez, Mariano. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Vivas, Quimey. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
AUTOMORPHISM GROUP
GENERALIZED WEYL ALGEBRA
ISOMORPHISM PROBLEM
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/84562
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Automorphisms and isomorphisms of quantum generalized Weyl algebrasSuárez-Alvarez, MarianoVivas, QuimeyAUTOMORPHISM GROUPGENERALIZED WEYL ALGEBRAISOMORPHISM PROBLEMhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We classify up to isomorphism the quantum generalized Weyl algebras and determine their automorphism groups in all cases in a uniform way, including the case where the parameter q is a root of unity, thereby completing the results obtained by Bavula and Jordan (2001) [5] and Richard and Solotar (2006) [12].Fil: Suárez-Alvarez, Mariano. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Vivas, Quimey. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaAcademic Press Inc Elsevier Science2015-02info: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/11336/84562Suárez-Alvarez, Mariano; Vivas, Quimey; Automorphisms and isomorphisms of quantum generalized Weyl algebras; Academic Press Inc Elsevier Science; Journal of Algebra; 424; 2-2015; 540-5520021-8693CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jalgebra.2014.08.045info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0021869314005122info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1206.4417info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-12T09:57:35Zoai:ri.conicet.gov.ar:11336/84562instacron: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:34982025-11-12 09:57:35.671CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Automorphisms and isomorphisms of quantum generalized Weyl algebras
title Automorphisms and isomorphisms of quantum generalized Weyl algebras
spellingShingle Automorphisms and isomorphisms of quantum generalized Weyl algebras
Suárez-Alvarez, Mariano
AUTOMORPHISM GROUP
GENERALIZED WEYL ALGEBRA
ISOMORPHISM PROBLEM
title_short Automorphisms and isomorphisms of quantum generalized Weyl algebras
title_full Automorphisms and isomorphisms of quantum generalized Weyl algebras
title_fullStr Automorphisms and isomorphisms of quantum generalized Weyl algebras
title_full_unstemmed Automorphisms and isomorphisms of quantum generalized Weyl algebras
title_sort Automorphisms and isomorphisms of quantum generalized Weyl algebras
dc.creator.none.fl_str_mv Suárez-Alvarez, Mariano
Vivas, Quimey
author Suárez-Alvarez, Mariano
author_facet Suárez-Alvarez, Mariano
Vivas, Quimey
author_role author
author2 Vivas, Quimey
author2_role author
dc.subject.none.fl_str_mv AUTOMORPHISM GROUP
GENERALIZED WEYL ALGEBRA
ISOMORPHISM PROBLEM
topic AUTOMORPHISM GROUP
GENERALIZED WEYL ALGEBRA
ISOMORPHISM PROBLEM
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 classify up to isomorphism the quantum generalized Weyl algebras and determine their automorphism groups in all cases in a uniform way, including the case where the parameter q is a root of unity, thereby completing the results obtained by Bavula and Jordan (2001) [5] and Richard and Solotar (2006) [12].
Fil: Suárez-Alvarez, Mariano. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Vivas, Quimey. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We classify up to isomorphism the quantum generalized Weyl algebras and determine their automorphism groups in all cases in a uniform way, including the case where the parameter q is a root of unity, thereby completing the results obtained by Bavula and Jordan (2001) [5] and Richard and Solotar (2006) [12].
publishDate 2015
dc.date.none.fl_str_mv 2015-02
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/11336/84562
Suárez-Alvarez, Mariano; Vivas, Quimey; Automorphisms and isomorphisms of quantum generalized Weyl algebras; Academic Press Inc Elsevier Science; Journal of Algebra; 424; 2-2015; 540-552
0021-8693
CONICET Digital
CONICET
url http://hdl.handle.net/11336/84562
identifier_str_mv Suárez-Alvarez, Mariano; Vivas, Quimey; Automorphisms and isomorphisms of quantum generalized Weyl algebras; Academic Press Inc Elsevier Science; Journal of Algebra; 424; 2-2015; 540-552
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.2014.08.045
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0021869314005122
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1206.4417
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc Elsevier Science
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 12.81033

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