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Abstract:

We compute Hochschild homology and cohomology of a class of generalized Weyl algebras, introduced by V. V. Bavula in St. Petersbourg Math. Journal, 4 (1) (1999), 71-90. Examples of such algebras are the n-th Weyl algebras, U(sl2). primitive quotients of U(sl2), and subalgebras of invariants of these algebras under finite cyclic groups of automorphisms. We answer a question of Bavula-Jordan (Trans. A.M.S., 353 (2) (2001), 769-794) concerning the generatore of the group of automorphisms of a generalized Weyl algebra. We also explain previous results on the invariants of Weyl algebras and of primitive quotients.

Registro:

Documento: Artículo
Título:Hochschild homology and cohomology of generalized Weyl algebras
Autor:Farinati, M.A.; Solotar, A.; Suárez-Álvarez, M.
Filiación:Universidad de Buenos Aires, Fac. de Ciencias Exactas y Naturales, Dpto de Matemática, Ciudad Universitaria Pab I (1428), Buenos Aires, Argentina
Palabras clave:Automorphism group; Generalized Weyl algebras; Hochschild homology
Año:2003
Volumen:53
Número:2
Página de inicio:465
Página de fin:488+VI+X
DOI: http://dx.doi.org/10.5802/aif.1950
Título revista:Annales de l'Institut Fourier
Título revista abreviado:Ann. Inst. Fourier
ISSN:03730956
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03730956_v53_n2_p465_Farinati

Referencias:

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Citas:

---------- APA ----------
Farinati, M.A., Solotar, A. & Suárez-Álvarez, M. (2003) . Hochschild homology and cohomology of generalized Weyl algebras. Annales de l'Institut Fourier, 53(2), 465-488+VI+X.
http://dx.doi.org/10.5802/aif.1950
---------- CHICAGO ----------
Farinati, M.A., Solotar, A., Suárez-Álvarez, M. "Hochschild homology and cohomology of generalized Weyl algebras" . Annales de l'Institut Fourier 53, no. 2 (2003) : 465-488+VI+X.
http://dx.doi.org/10.5802/aif.1950
---------- MLA ----------
Farinati, M.A., Solotar, A., Suárez-Álvarez, M. "Hochschild homology and cohomology of generalized Weyl algebras" . Annales de l'Institut Fourier, vol. 53, no. 2, 2003, pp. 465-488+VI+X.
http://dx.doi.org/10.5802/aif.1950
---------- VANCOUVER ----------
Farinati, M.A., Solotar, A., Suárez-Álvarez, M. Hochschild homology and cohomology of generalized Weyl algebras. Ann. Inst. Fourier. 2003;53(2):465-488+VI+X.
http://dx.doi.org/10.5802/aif.1950