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Abstract:

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.

Registro:

Documento: Artículo
Título:On Morita equivalence for simple Generalized Weyl algebras
Autor:Richard, L.; Solotar, A.
Filiación:Dto. de Matemática, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria Pab I, (1428), Buenos Aires, Argentina
Palabras clave:Hattori-Bass trace; Morita equivalence; Noncommutative Kleinian singularities; Quantum tori; Differential geometry; Hattori-Bass trace; Morita equivalence; Non-commutative; Quantum tori; Weyl algebra; Algebra
Año:2010
Volumen:13
Número:5
Página de inicio:589
Página de fin:605
DOI: http://dx.doi.org/10.1007/s10468-009-9138-5
Título revista:Algebras and Representation Theory
Título revista abreviado:Algebr Represent Theory
ISSN:1386923X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1386923X_v13_n5_p589_Richard

Referencias:

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  • Hodges, T.J., K-theory of Noetherian rings (1989) Séminaire d'Algèbre Paul Dubreil et Marie-Paul Malliavin, 39ème Année (Paris, 1987/1988) Lecture Notes in Math., 1404, pp. 246-268. , Springer Berlin. 10.1007/BFb0084079
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Citas:

---------- APA ----------
Richard, L. & Solotar, A. (2010) . On Morita equivalence for simple Generalized Weyl algebras. Algebras and Representation Theory, 13(5), 589-605.
http://dx.doi.org/10.1007/s10468-009-9138-5
---------- CHICAGO ----------
Richard, L., Solotar, A. "On Morita equivalence for simple Generalized Weyl algebras" . Algebras and Representation Theory 13, no. 5 (2010) : 589-605.
http://dx.doi.org/10.1007/s10468-009-9138-5
---------- MLA ----------
Richard, L., Solotar, A. "On Morita equivalence for simple Generalized Weyl algebras" . Algebras and Representation Theory, vol. 13, no. 5, 2010, pp. 589-605.
http://dx.doi.org/10.1007/s10468-009-9138-5
---------- VANCOUVER ----------
Richard, L., Solotar, A. On Morita equivalence for simple Generalized Weyl algebras. Algebr Represent Theory. 2010;13(5):589-605.
http://dx.doi.org/10.1007/s10468-009-9138-5