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, M.A., Solotar, A., Suárez-Álvarez, M.
Formato: JOUR
Materias:
Automorphism group
Generalized Weyl algebras
Hochschild homology
Acceso en línea: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 todo:paper_03730956_v53_n2_p465_Farinati
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spelling todo:paper_03730956_v53_n2_p465_Farinati2023-10-03T15:30:13Z Hochschild homology and cohomology of generalized Weyl algebras Farinati, M.A. Solotar, A. Suárez-Álvarez, M. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, M.A.
Solotar, A.
Suárez-Álvarez, M.
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.
format JOUR
author Farinati, M.A.
Solotar, A.
Suárez-Álvarez, M.
author_facet Farinati, M.A.
Solotar, A.
Suárez-Álvarez, M.
author_sort Farinati, M.A.
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
url http://hdl.handle.net/20.500.12110/paper_03730956_v53_n2_p465_Farinati
work_keys_str_mv AT farinatima hochschildhomologyandcohomologyofgeneralizedweylalgebras
AT solotara hochschildhomologyandcohomologyofgeneralizedweylalgebras
AT suarezalvarezm hochschildhomologyandcohomologyofgeneralizedweylalgebras
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