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.
Facultad de Ciencias Exactas
Consejo Nacional de Investigaciones Científicas y Técnicas - Materia
-
Matemática
Quantum groups
Bosonizations
Cocycle deformation - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/95938
Ver los metadatos del registro completo
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Multiparameter quantum groups, bosonizations and cocycle deformationsGarcía, Gastón AndrésMatemáticaQuantum groupsBosonizationsCocycle deformationThe 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.Facultad de Ciencias ExactasConsejo Nacional de Investigaciones Científicas y Técnicas2017-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf1-23http://sedici.unlp.edu.ar/handle/10915/95938enginfo:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/66719info: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/altIdentifier/arxiv/1406.2561info:eu-repo/semantics/altIdentifier/hdl/11336/66719info: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:UNLP2025-09-29T11:20:20Zoai:sedici.unlp.edu.ar:10915/95938Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:20:21.065SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| 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 Matemática 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 |
Matemática Quantum groups Bosonizations Cocycle deformation |
| topic |
Matemática Quantum groups Bosonizations Cocycle deformation |
| 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. Facultad de Ciencias Exactas Consejo Nacional de Investigaciones Científicas y Técnicas |
| 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 |
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2017-12 |
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eng |
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