The prime spectrum and simple modules over the quantum spatial ageing algebra

TL;DR

This paper classifies the prime, primitive, and maximal spectra of a specific algebra, determines its automorphism group, and classifies certain simple modules, providing a comprehensive structural analysis.

Contribution

It provides a detailed classification of spectra, automorphisms, and simple modules for the quantum spatial ageing algebra, a novel contribution to its structural understanding.

Findings

Classification of prime, primitive, and maximal spectra

Determination of the automorphism group

Classification of simple unfaithful and weight modules

Abstract

For the algebra $A$ in the title, its prime, primitive and maximal spectra are classified. The group of automorphisms of $A$ is determined. The simple unfaithful $A$-modules and the simple weight $A$-modules are classified.