On the Poisson structure related to $\kappa$-Poincar\'e Group

TL;DR

This paper explores the Poisson structure associated with the ppa-Poincare9 group, revealing its duality to a Lie algebroid and providing a geometric description on Minkowski space.

Contribution

It introduces a geometric framework for understanding the Poisson structure of the ppa-Poincare9 group via Lie algebroid duality.

Findings

Poisson structure is dual to a Lie algebroid

Provides a geometric description on Minkowski space

Links algebraic and geometric perspectives

Abstract

It is shown that the Poisson structure related to $\kappa$-Poincar\'e group is dual to a certain Lie algebroid structure, the related Poisson structure on the (affine) Minkowski space is described in a geometric way.