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
收藏
页码：769 / 794
页数：26
相关论文
共 50 条
  • [31] Fixed rings of generalized Weyl algebras
    Gaddis, Jason
    Won, Robert
    JOURNAL OF ALGEBRA, 2019, 536 : 149 - 169
  • [32] Skew derivations on generalized Weyl algebras
    Almulhem, Munerah
    Brzezinski, Tomasz
    JOURNAL OF ALGEBRA, 2018, 493 : 194 - 235
  • [33] Indecomposable representations of generalized Weyl algebras
    Bavula, V
    Bekkert, V
    COMMUNICATIONS IN ALGEBRA, 2000, 28 (11) : 5067 - 5100
  • [34] Endomorphisms of Quantum Generalized Weyl Algebras
    Andrew P. Kitchin
    Stéphane Launois
    Letters in Mathematical Physics, 2014, 104 : 837 - 848
  • [35] The noncommutative schemes of generalized Weyl algebras
    Won, Robert
    JOURNAL OF ALGEBRA, 2018, 506 : 322 - 349
  • [36] Endomorphisms of Quantum Generalized Weyl Algebras
    Kitchin, Andrew P.
    Launois, Stephane
    LETTERS IN MATHEMATICAL PHYSICS, 2014, 104 (07) : 837 - 848
  • [37] Cluster Structure on Generalized Weyl Algebras
    Saleh, Ibrahim
    ALGEBRAS AND REPRESENTATION THEORY, 2016, 19 (05) : 1017 - 1041
  • [38] Cluster Structure on Generalized Weyl Algebras
    Ibrahim Saleh
    Algebras and Representation Theory, 2016, 19 : 1017 - 1041
  • [39] ON THE CONSISTENCY OF TWISTED GENERALIZED WEYL ALGEBRAS
    Futorny, Vyacheslav
    Hartwig, Jonas T.
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 140 (10) : 3349 - 3363
  • [40] Automorphisms for Some Symmetric Multiparameter Quantized Weyl Algebras and Their Localizations
    Tang, Xin
    ALGEBRA COLLOQUIUM, 2017, 24 (03) : 419 - 438
12345