On the automorphisms of quantum Weyl algebras

被引：3
|
作者：
Kitchin, Andrew P. [1 ]
Launois, Stephane [1 ]
机构：
[1] Univ Kent, Sch Math Stat & Actuarial Sci, Canterbury CT2 7FS, Kent, England
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2019年 / 223卷 / 04期
基金：
英国工程与自然科学研究理事会;
关键词：
Q-ANALOGS; ENDOMORPHISMS; ISOMORPHISMS; CONJECTURE; DIXMIER; TAME;
D O I：
10.1016/j.jpaa.2018.06.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Motivated by Weyl algebra analogues of the Jacobian conjecture and the tame generators problem, we prove quantum versions of these problems for a family of analogues to the Weyl algebras. In particular, our results cover the Weyl-Hayashi algebras and tensor powers of a quantization of the first Weyl algebra which arises as a primitive factor algebra of U-q(+)(so(5)). (C) 2018 Elsevier B.V. All rights reserved.
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页码：1514 / 1530
页数：17
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