Generalized kappa-deformed spaces, star-products, and their realizations

Understand

In this work we investigate generalized kappa-deformed spaces.

• We develop a systematic method for constructing realizations of noncommutative (NC) coordinates as formal power series in the Weyl algebra.
• All realizations are related by a group of similarity transformations, and to each realization we associate a unique ordering prescription.
• Generalized derivatives, the Leibniz rule and coproduct, as well as the star-product are found in all realizations.