Classical basis for kappa-Poincare algebra and doubly special relativity theories

Understand

Several issues concerning quantum kappa-Poincare algebra are discussed and reconsidered here.

• We propose two different formulations of kappa-Poincare quantum algebra.
• Firstly we present a complete Hopf algebra formulae of kappa-Poincare in classical Poincare basis.
• Further by adding one extra generator, which modifies the classical structure of Poincare algebra, we eliminate non polynomial functions in the kappa-parameter.