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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todo:paper_1386923X_v13_n5_p589_Richard2023-10-03T16:12:22Z On Morita equivalence for simple Generalized Weyl algebras Richard, L. Solotar, A. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Richard, L. Solotar, A. 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. |
| format |
JOUR |
| author |
Richard, L. Solotar, A. |
| author_facet |
Richard, L. Solotar, A. |
| author_sort |
Richard, L. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_1386923X_v13_n5_p589_Richard |
| work_keys_str_mv |
AT richardl onmoritaequivalenceforsimplegeneralizedweylalgebras AT solotara onmoritaequivalenceforsimplegeneralizedweylalgebras |
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1782030808924553216 |