Hochschild homology and cohomology of generalized Weyl algebras

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...

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Autores principales: Farinati, Marco Andres, Solotar, Andrea Leonor, Suárez-Alvarez, Mariano
Publicado: 2003
Materias:
Automorphism group
Generalized Weyl algebras
Hochschild homology
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03730956_v53_n2_p465_Farinati
http://hdl.handle.net/20.500.12110/paper_03730956_v53_n2_p465_Farinati
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_03730956_v53_n2_p465_Farinati
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spelling paper:paper_03730956_v53_n2_p465_Farinati2023-06-08T15:37:50Z Hochschild homology and cohomology of generalized Weyl algebras Farinati, Marco Andres Solotar, Andrea Leonor Suárez-Alvarez, Mariano Automorphism group Generalized Weyl algebras Hochschild homology 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. Fil:Farinati, M.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Solotar, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Suárez-Álvarez, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2003 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03730956_v53_n2_p465_Farinati http://hdl.handle.net/20.500.12110/paper_03730956_v53_n2_p465_Farinati
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Automorphism group
Generalized Weyl algebras
Hochschild homology
spellingShingle Automorphism group
Generalized Weyl algebras
Hochschild homology
Farinati, Marco Andres
Solotar, Andrea Leonor
Suárez-Alvarez, Mariano
Hochschild homology and cohomology of generalized Weyl algebras
topic_facet Automorphism group
Generalized Weyl algebras
Hochschild homology
description 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.
author Farinati, Marco Andres
Solotar, Andrea Leonor
Suárez-Alvarez, Mariano
author_facet Farinati, Marco Andres
Solotar, Andrea Leonor
Suárez-Alvarez, Mariano
author_sort Farinati, Marco Andres
title Hochschild homology and cohomology of generalized Weyl algebras
title_short Hochschild homology and cohomology of generalized Weyl algebras
title_full Hochschild homology and cohomology of generalized Weyl algebras
title_fullStr Hochschild homology and cohomology of generalized Weyl algebras
title_full_unstemmed Hochschild homology and cohomology of generalized Weyl algebras
title_sort hochschild homology and cohomology of generalized weyl algebras
publishDate 2003
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03730956_v53_n2_p465_Farinati
http://hdl.handle.net/20.500.12110/paper_03730956_v53_n2_p465_Farinati
work_keys_str_mv AT farinatimarcoandres hochschildhomologyandcohomologyofgeneralizedweylalgebras
AT solotarandrealeonor hochschildhomologyandcohomologyofgeneralizedweylalgebras
AT suarezalvarezmariano hochschildhomologyandcohomologyofgeneralizedweylalgebras
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