Homological smoothness and deformations of generalized Weyl algebras

被引：0
|
作者：
Liyu Liu
机构：
[1] Universiteit Antwerpen,Departement Wiskunde
来源：
Israel Journal of Mathematics | 2015年 / 209卷
关键词：
Multiple Root; Projective Resolution; Weyl Algebra; Hochschild Cohomology; Formal Deformation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
It is an immediate conclusion from Bavula’s papers [1], [2] that if a generalized Weyl algebra A = k[z; λ, η, φ(z)] is homologically smooth, then the polynomial φ(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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页码：949 / 992
页数：43
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