Simple Modules Over Quantized Weyl Algebras At Roots Of Unity

TL;DR

This paper classifies simple modules over rank-two quantized Weyl algebras at roots of unity, providing a detailed understanding of their structure in algebraic settings.

Contribution

It offers the first complete classification of simple modules over these specific quantum algebras at roots of unity.

Findings

Complete classification of simple modules achieved

Structural insights into quantized Weyl algebras at roots of unity

Foundation for further representation theory studies

Abstract

In this article the simple modules over the rank-two quantized Weyl algebras at roots of unity over an algebraically closed field are classified.