Homological smoothness and deformations of generalized Weyl algebras
Homological smoothness and deformations of generalized Weyl algebras
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DOI：
10.1007/s11856-015-1242-0
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发表时间：
2013-04
影响因子：
1
通讯作者：
Liyu Liu
中科院分区：
文献类型：
--
作者：
Liyu Liu
从 Bavula 的论文 [1]、[2] 可以直接得出结论：如果广义 Weyl 代数 A=k[z;λ, η, φ(z)] 同调光滑，则多项式 φ(z) 没有重根。我们在本文中证明反之亦然。此外，还研究了特征为零时A的形式变形。
It is an immediate conclusion from Bavula’s papers [1], [2] that if a generalized Weyl algebraA=k[z;λ, η, φ(z)] is homologically smooth, then the polynomialφ(z) has no multiple roots. We prove in this paper that the converse is also true. Moreover, formal deformations ofAare studied whenkis of characteristic zero.