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.

引用

页码：1514 / 1530

页数：17

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