Multiparameter quantum groups, bosonizations and cocycle deformations

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...

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Autor principal: García, Gastón Andrés
Formato: Articulo
Lenguaje:Inglés
Publicado: 2017
Materias:
Matemática
Quantum groups
Bosonizations
Cocycle deformation
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/95938
https://ri.conicet.gov.ar/11336/66719
http://inmabb.criba.edu.ar/revuma/revuma.php?p=toc/vol57
https://arxiv.org/abs/1406.2561
http://inmabb.criba.edu.ar/revuma/pdf/v57n2/v57n2a01.pdf
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-95938
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Quantum groups
Bosonizations
Cocycle deformation
spellingShingle Matemática
Quantum groups
Bosonizations
Cocycle deformation
García, Gastón Andrés
Multiparameter quantum groups, bosonizations and cocycle deformations
topic_facet Matemática
Quantum groups
Bosonizations
Cocycle deformation
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.
format Articulo
Articulo
author García, Gastón Andrés
author_facet García, Gastón Andrés
author_sort García, Gastón Andrés
title Multiparameter quantum groups, bosonizations and cocycle deformations
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
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/95938
https://ri.conicet.gov.ar/11336/66719
http://inmabb.criba.edu.ar/revuma/revuma.php?p=toc/vol57
https://arxiv.org/abs/1406.2561
http://inmabb.criba.edu.ar/revuma/pdf/v57n2/v57n2a01.pdf
work_keys_str_mv AT garciagastonandres multiparameterquantumgroupsbosonizationsandcocycledeformations
bdutipo_str Repositorios
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