Hochschild homology and cohomology of generalized Weyl algebras

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dc.creatorFarinati, Marco A.
dc.creatorSolotar, Andrea L.
dc.creatorSuarez-Alvarez, Mariano
dc.date2001-09-04
dc.date.accessioned2026-07-07T04:43:16Z
dc.date.available2026-07-07T04:43:16Z
dc.descriptionWe compute Hochschild homology and cohomology of a class of generalized Weyl algebras (for short GWA, defined by Bavula in St.Petersbourg Math. Journal 1999 4(1) pp. 71-90). Examples of such algebras are the n-th Weyl algebras, U(sl_2), primitive quotients of U(sl_2), 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 pp. 769 -794) concerning the generator of the group of automorphism of a GWA. We also explain previous results on the invariants of Weyl algebras and of primitive quotients.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0109025
dc.identifierhttp://arxiv.org/abs/math/0109025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62142
dc.subjectK-Theory and Homology
dc.subject16E40; 16E65; 16W70
dc.titleHochschild homology and cohomology of generalized Weyl algebras
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