Multiparameter quantum groups, bosonizations and cocycle deformations
- Autores
- García, Gastón Andrés
- Año de publicación
- 2017
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- The multiparameter quantized enveloping algebras Uq(gA) constructed by Pei, Hu and Rosso [Quantum affine algebras, extended affine Lie algebras, and their applications, 145–171, Amer. Math. Soc., Providence, 2010] are presented as the pointed Hopf algebras Ue(Dred, `) defined by Andruskiewitsch and Schneider [Ann. of Math. (2) 171 (2010), 375–417]. The result is applied to show that under a certain assumption Uq(gA) depends, up to cocycle deformation, on only one parameter in each connected component of the associated Dynkin diagram. In the special case that gA is simple, this was already shown by Pei, Hu and Rosso in an alternative way.
Fil: García, Gastón Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Ministerio de Ciencia. Tecnología e Innovación Productiva. Agencia Nacional de Promoción Cientifíca y Tecnológica; Argentina. Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni; Italia - Materia
-
QUANTUM GROUPS
BOSONIZATIONS
COCYCLE DEFORMATION - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/66719
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Multiparameter quantum groups, bosonizations and cocycle deformationsGarcía, Gastón AndrésQUANTUM GROUPSBOSONIZATIONSCOCYCLE DEFORMATIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The multiparameter quantized enveloping algebras Uq(gA) constructed by Pei, Hu and Rosso [Quantum affine algebras, extended affine Lie algebras, and their applications, 145–171, Amer. Math. Soc., Providence, 2010] are presented as the pointed Hopf algebras Ue(Dred, `) defined by Andruskiewitsch and Schneider [Ann. of Math. (2) 171 (2010), 375–417]. The result is applied to show that under a certain assumption Uq(gA) depends, up to cocycle deformation, on only one parameter in each connected component of the associated Dynkin diagram. In the special case that gA is simple, this was already shown by Pei, Hu and Rosso in an alternative way.Fil: García, Gastón Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Ministerio de Ciencia. Tecnología e Innovación Productiva. Agencia Nacional de Promoción Cientifíca y Tecnológica; Argentina. Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni; ItaliaUnión Matemática Argentina2017-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/66719García, Gastón Andrés; Multiparameter quantum groups, bosonizations and cocycle deformations; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 57; 2; 12-2017; 1-230041-69321669-9637CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://inmabb.criba.edu.ar/revuma/revuma.php?p=toc/vol57info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1406.2561info:eu-repo/semantics/altIdentifier/url/http://inmabb.criba.edu.ar/revuma/pdf/v57n2/v57n2a01.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:42:59Zoai:ri.conicet.gov.ar:11336/66719instacron: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:34982025-09-29 10:42:59.973CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Multiparameter quantum groups, bosonizations and cocycle deformations |
title |
Multiparameter quantum groups, bosonizations and cocycle deformations |
spellingShingle |
Multiparameter quantum groups, bosonizations and cocycle deformations García, Gastón Andrés QUANTUM GROUPS BOSONIZATIONS COCYCLE DEFORMATION |
title_short |
Multiparameter quantum groups, bosonizations and cocycle deformations |
title_full |
Multiparameter quantum groups, bosonizations and cocycle deformations |
title_fullStr |
Multiparameter quantum groups, bosonizations and cocycle deformations |
title_full_unstemmed |
Multiparameter quantum groups, bosonizations and cocycle deformations |
title_sort |
Multiparameter quantum groups, bosonizations and cocycle deformations |
dc.creator.none.fl_str_mv |
García, Gastón Andrés |
author |
García, Gastón Andrés |
author_facet |
García, Gastón Andrés |
author_role |
author |
dc.subject.none.fl_str_mv |
QUANTUM GROUPS BOSONIZATIONS COCYCLE DEFORMATION |
topic |
QUANTUM GROUPS BOSONIZATIONS COCYCLE DEFORMATION |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
The multiparameter quantized enveloping algebras Uq(gA) constructed by Pei, Hu and Rosso [Quantum affine algebras, extended affine Lie algebras, and their applications, 145–171, Amer. Math. Soc., Providence, 2010] are presented as the pointed Hopf algebras Ue(Dred, `) defined by Andruskiewitsch and Schneider [Ann. of Math. (2) 171 (2010), 375–417]. The result is applied to show that under a certain assumption Uq(gA) depends, up to cocycle deformation, on only one parameter in each connected component of the associated Dynkin diagram. In the special case that gA is simple, this was already shown by Pei, Hu and Rosso in an alternative way. Fil: García, Gastón Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Ministerio de Ciencia. Tecnología e Innovación Productiva. Agencia Nacional de Promoción Cientifíca y Tecnológica; Argentina. Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni; Italia |
description |
The multiparameter quantized enveloping algebras Uq(gA) constructed by Pei, Hu and Rosso [Quantum affine algebras, extended affine Lie algebras, and their applications, 145–171, Amer. Math. Soc., Providence, 2010] are presented as the pointed Hopf algebras Ue(Dred, `) defined by Andruskiewitsch and Schneider [Ann. of Math. (2) 171 (2010), 375–417]. The result is applied to show that under a certain assumption Uq(gA) depends, up to cocycle deformation, on only one parameter in each connected component of the associated Dynkin diagram. In the special case that gA is simple, this was already shown by Pei, Hu and Rosso in an alternative way. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-12 |
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/11336/66719 García, Gastón Andrés; Multiparameter quantum groups, bosonizations and cocycle deformations; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 57; 2; 12-2017; 1-23 0041-6932 1669-9637 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/66719 |
identifier_str_mv |
García, Gastón Andrés; Multiparameter quantum groups, bosonizations and cocycle deformations; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 57; 2; 12-2017; 1-23 0041-6932 1669-9637 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/http://inmabb.criba.edu.ar/revuma/revuma.php?p=toc/vol57 info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1406.2561 info:eu-repo/semantics/altIdentifier/url/http://inmabb.criba.edu.ar/revuma/pdf/v57n2/v57n2a01.pdf |
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 |
dc.publisher.none.fl_str_mv |
Unión Matemática Argentina |
publisher.none.fl_str_mv |
Unión Matemática Argentina |
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reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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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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13.070432 |