The isomorphism problem for multiparameter quantized Weyl algebras

TL;DR

This paper solves the isomorphism problem for multiparameter quantized Weyl algebras when deformation parameters are not roots of unity, providing a classification in a broad algebraic setting.

Contribution

It offers a complete solution to the isomorphism problem for these algebras under specified conditions, extending previous results.

Findings

Classification of isomorphisms established

Conditions for algebra isomorphism characterized

Applicable over arbitrary fields

Abstract

In this note we solve the isomorphism problem for the multiparameter quantized Weyl algebras, in the case when none of the deformation parameters q_i is a root of unity, over an arbitrary field.