Title
Homological smoothness and deformations of generalized Weyl algebras Homological smoothness and deformations of generalized Weyl algebras
Author
Publication type
article
Publication
Jerusalem ,
Subject
Mathematics
Source (journal)
Israel journal of mathematics. - Jerusalem
Volume/pages
209(2015) :2 , p. 949-992
ISSN
0021-2172
ISI
000364225700016
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
It is an immediate conclusion from Bavula's papers [1], [2] that if a generalized Weyl algebra A = k[z; lambda, eta, phi(z)] is homologically smooth, then the polynomial phi(z) has no multiple roots. We prove in this paper that the converse is also true. Moreover, formal deformations of A are studied when k is of characteristic zero.
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