Reflection equations and q-Minkowski space algebras

TL;DR

This paper reformulates the defining relations of q-deformed Minkowski space and its derivatives as reflection equations, highlighting their covariance under quantum Lorentz group actions.

Contribution

It introduces a reflection equation formulation for q-Minkowski space algebra, derivatives, and differentials, simplifying covariance analysis.

Findings

Reflection equations encode q-Minkowski algebra relations

Covariance under quantum Lorentz group is straightforwardly demonstrated

Unified framework for algebra and differential structures

Abstract

We express the defining relations of the $q$-deformed Minkowski space algebra as well as that of the corresponding derivatives and differentials in the form of reflection equations. This formulation encompasses the covariance properties with respect the quantum Lorentz group action in a straightforward way.