Isomorphism problems and groups of automorphisms for generalized Weyl algebras

被引：2

作者：

Bavula, VV

Jordan, DA

机构：

[1] Univ Instelling Antwerp, Dept Math & Comp Sci, B-2610 Wilrijk, Belgium

[2] Univ Sheffield, Dept Pure Math, Sheffield S3 7RH, S Yorkshire, England

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 353卷 / 02期

关键词：

isomorphism; generalized Weyl algebra; skew polynomial ring; automorphism group; Kleinian singularity;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present solutions to isomorphism problems for various generalized Weyl algebras, including deformations of type-A Kleinian singularities and the algebras similar to U(sl(2)) introduced by S. P. Smith. For the former, we generalize results of Dixmier on the first Weyl algebra and the minimal primitive factors of U(sl(2)) by finding sets of generators for the group of automorphisms.

引用

页码：769 / 794

页数：26

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