Generalized Weyl systems and kappa-Minkowski space

TL;DR

This paper introduces generalized Weyl systems to define new *-products that extend Lie algebra commutation relations, focusing on k-Minkowski space, and compares various such *-products.

Contribution

It presents a novel framework of generalized Weyl systems for constructing and analyzing *-products related to k-Minkowski space, broadening the mathematical tools available.

Findings

Developed a new class of *-products based on generalized Weyl systems.

Compared different *-products extending k-Minkowski relations.

Provided insights into the algebraic structure of noncommutative spaces.

Abstract

We introduce the notion of generalized Weyl system, and use it to define *-products which generalize the commutation relations of Lie algebras. In particular we study in a comparative way various *-products which generalize the k-Minkowski commutation relations.