On Morita equivalence for simple Generalized Weyl algebras

We give a necessary condition for Morita equivalence of simple Generalized Weyl algebras of classical type. We propose a reformulation of Hodges' result, which describes Morita equivalences in case the polynomial defining the Generalized Weyl algebra has degree 2, in terms of isomorphisms of qu...

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Publicado:	2010
Materias:	Hattori-Bass trace Morita equivalence Noncommutative Kleinian singularities Quantum tori Differential geometry Non-commutative Weyl algebra Algebra
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1386923X_v13_n5_p589_Richard http://hdl.handle.net/20.500.12110/paper_1386923X_v13_n5_p589_Richard
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_1386923X_v13_n5_p589_Richard
record_format	dspace
spelling	paper:paper_1386923X_v13_n5_p589_Richard2023-06-08T16:12:51Z On Morita equivalence for simple Generalized Weyl algebras Hattori-Bass trace Morita equivalence Noncommutative Kleinian singularities Quantum tori Differential geometry Hattori-Bass trace Morita equivalence Non-commutative Quantum tori Weyl algebra Algebra We give a necessary condition for Morita equivalence of simple Generalized Weyl algebras of classical type. We propose a reformulation of Hodges' result, which describes Morita equivalences in case the polynomial defining the Generalized Weyl algebra has degree 2, in terms of isomorphisms of quantum tori, inspired by similar considerations in noncommutative differential geometry. We study how far this link can be generalized for n∈≥∈3. © 2009 Springer Science+Business Media B.V. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1386923X_v13_n5_p589_Richard http://hdl.handle.net/20.500.12110/paper_1386923X_v13_n5_p589_Richard
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Hattori-Bass trace Morita equivalence Noncommutative Kleinian singularities Quantum tori Differential geometry Hattori-Bass trace Morita equivalence Non-commutative Quantum tori Weyl algebra Algebra
spellingShingle	Hattori-Bass trace Morita equivalence Noncommutative Kleinian singularities Quantum tori Differential geometry Hattori-Bass trace Morita equivalence Non-commutative Quantum tori Weyl algebra Algebra On Morita equivalence for simple Generalized Weyl algebras
topic_facet	Hattori-Bass trace Morita equivalence Noncommutative Kleinian singularities Quantum tori Differential geometry Hattori-Bass trace Morita equivalence Non-commutative Quantum tori Weyl algebra Algebra
description	We give a necessary condition for Morita equivalence of simple Generalized Weyl algebras of classical type. We propose a reformulation of Hodges' result, which describes Morita equivalences in case the polynomial defining the Generalized Weyl algebra has degree 2, in terms of isomorphisms of quantum tori, inspired by similar considerations in noncommutative differential geometry. We study how far this link can be generalized for n∈≥∈3. © 2009 Springer Science+Business Media B.V.
title	On Morita equivalence for simple Generalized Weyl algebras
title_short	On Morita equivalence for simple Generalized Weyl algebras
title_full	On Morita equivalence for simple Generalized Weyl algebras
title_fullStr	On Morita equivalence for simple Generalized Weyl algebras
title_full_unstemmed	On Morita equivalence for simple Generalized Weyl algebras
title_sort	on morita equivalence for simple generalized weyl algebras
publishDate	2010
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1386923X_v13_n5_p589_Richard http://hdl.handle.net/20.500.12110/paper_1386923X_v13_n5_p589_Richard
_version_	1768544834272886784

On Morita equivalence for simple Generalized Weyl algebras

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