Automorphisms and isomorphisms of quantum generalized Weyl algebras

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 (200...

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Autores principales: Suárez-Alvarez, Mariano, Vivas, Quimey
Publicado: 2015
Materias:
Automorphism group
Generalized Weyl algebra
Isomorphism problem
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v424_n_p540_SuarezAlvarez
http://hdl.handle.net/20.500.12110/paper_00218693_v424_n_p540_SuarezAlvarez
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00218693_v424_n_p540_SuarezAlvarez
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spelling paper:paper_00218693_v424_n_p540_SuarezAlvarez2025-07-30T17:24:51Z Automorphisms and isomorphisms of quantum generalized Weyl algebras Suárez-Alvarez, Mariano Vivas, Quimey Automorphism group Generalized Weyl algebra Isomorphism problem 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]. © 2014 Elsevier Inc. Fil:Suárez-Alvarez, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Vivas, Q. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v424_n_p540_SuarezAlvarez http://hdl.handle.net/20.500.12110/paper_00218693_v424_n_p540_SuarezAlvarez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Automorphism group
Generalized Weyl algebra
Isomorphism problem
spellingShingle Automorphism group
Generalized Weyl algebra
Isomorphism problem
Suárez-Alvarez, Mariano
Vivas, Quimey
Automorphisms and isomorphisms of quantum generalized Weyl algebras
topic_facet Automorphism group
Generalized Weyl algebra
Isomorphism problem
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]. © 2014 Elsevier Inc.
author Suárez-Alvarez, Mariano
Vivas, Quimey
author_facet Suárez-Alvarez, Mariano
Vivas, Quimey
author_sort Suárez-Alvarez, Mariano
title Automorphisms and isomorphisms of quantum generalized Weyl algebras
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
publishDate 2015
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v424_n_p540_SuarezAlvarez
http://hdl.handle.net/20.500.12110/paper_00218693_v424_n_p540_SuarezAlvarez
work_keys_str_mv AT suarezalvarezmariano automorphismsandisomorphismsofquantumgeneralizedweylalgebras
AT vivasquimey automorphismsandisomorphismsofquantumgeneralizedweylalgebras
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