no. 3
Hochschild homology and cohomology of Generalized Weyl algebras: the quantum case
[Homologie et cohomologie de Hochschild des algèbres de Weyl généralisées : le cas quantique]
Solotar, Andrea1 ; Suárez-Alvarez, Mariano1 ; Vivas, Quimey1
1 Departamento de Matemática-IMAS Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón 1 1428, Buenos Aires, Argentina.
Annales de l'Institut Fourier, Tome 63 (2013) no. 3, pp. 923-956.

Nous déterminons l’homologie et la cohomologie de Hochschild des algèbres de Weyl généralisées de rang un dans le cas quantique sauf dans quelques cas exceptionnels.

We determine the Hochschild homology and cohomology of the generalized Weyl algebras of rank one which are of ‘quantum’ type in all but a few exceptional cases.

DOI : 10.5802/aif.2780
Classification : 16E40, 16E65, 16U80, 16W50, 16W70
Keywords: generalized Weyl algebra, Hochschild cohomology, global dimension
Mot clés : algèbre de Weyl généralisée, cohomologie de Hochschild, dimension globale
Solotar, Andrea 1 ; Suárez-Alvarez, Mariano 1 ; Vivas, Quimey 1

1 Departamento de Matemática-IMAS Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón 1 1428, Buenos Aires, Argentina. 
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     title = {Hochschild homology and cohomology of {Generalized} {Weyl} algebras: the quantum case},
     journal = {Annales de l'Institut Fourier},
     pages = {923--956},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {63},
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Solotar, Andrea; Suárez-Alvarez, Mariano; Vivas, Quimey. Hochschild homology and cohomology of Generalized Weyl algebras: the quantum case. Annales de l'Institut Fourier, Tome 63 (2013) no. 3, pp. 923-956. doi : 10.5802/aif.2780. http://www.numdam.org/articles/10.5802/aif.2780/

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