Fixed rings of generalized Weyl algebras

被引：6

作者：

Gaddis, Jason ^{[1
]}

Won, Robert ^{[2
,3
]}

机构：

[1] Miami Univ, Dept Math, 301 S Patterson Ave, Oxford, OH 45056 USA

[2] Wake Forest Univ, Dept Math & Stat, POB 7388, Winston Salem, NC 27109 USA

[3] Univ Washington, Dept Math, Box 354350, Seattle, WA 98195 USA

来源：

JOURNAL OF ALGEBRA | 2019年 / 536卷

关键词：

Generalized Weyl algebras; Fixed rings; Filtered group actions; Auslander's Theorem; AUTOMORPHISMS; DEFORMATIONS;

D O I：

10.1016/j.jalgebra.2019.06.030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study actions by filtered automorphisms on classical generalized Weyl algebras (GWAs). In the case of a defining polynomial of degree two, we prove that the fixed ring under the action of a finite cyclic group of filtered automorphisms is again a classical GWA, extending a result of Jordan and Wells. Partial results are provided for the case of higher degree polynomials. In addition, we establish a version of Auslander's theorem for finite cyclic groups of filtered automorphisms acting on classical GWAs. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：149 / 169

页数：21

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