The duality between $\kappa$-Poincar\'e algebra and $\kappa$-Poincar\'e group

TL;DR

This paper establishes the complete duality relationship between the $$-Poincare9 algebra and group, clarifying their mathematical correspondence in quantum group theory.

Contribution

It provides a rigorous proof of the full duality between the $$-Poincare9 algebra and group, advancing understanding of their mathematical structure.

Findings

Full duality between $$-Poincare9 algebra and group proved

Clarifies the mathematical relationship in quantum group theory

Enhances foundational understanding of $$-Poincare9 structures

Abstract

The full duality between the $\kappa$-Poincar\'e algebra and $\kappa$-Poincar\'e group is proved.