generators only. Finally, in Section 6, we give a short conclusion.

Heisenberg algebra and coalgebra
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Before going into deformed relativistic symmetries let us start with the undeformed Heisenberg algebra and the deformation of a phase space (deformed Heisenberg algebra) including $\kappa$-Minkowski spacetime. In the undeformed case Heisenberg algebra $\ H$ can be defined as an algebra generated by 4 coordinates $x_{\mu}$ and 4 momenta $p_{\mu}$, satisfying the following relations: $$\left[ x_{\mu },x_{\nu }\right] =0, \qquad \left[ p_{\mu },x_{\nu } \right]
=-i\eta _{\mu \nu }\cdot 1, \qquad \left[ p_{\mu },p_{\nu }\right] =0,$$ where $\mu, \nu = 0,1,2,3$ and $\eta_{\mu\nu}=(-,+,+,+)$ is diagonal metric tensor with Lorentzian signature. Similarly, the symmetric algebra in $ \{ x_{\mu } \} $ is denoted by ${\mathcal{A}},$ and the symmetric algebra in $ \{ p_{\mu } \} $ is denoted by $T$. Using relation $p_{\mu }x_{\nu } - x_{\nu }p_{\mu }
 = -i\eta _{\mu \nu }\cdot 1, $ we can write $H ={\mathcal{A}}T.  $\
The action $h \triangleright f(x) $ for any $h \in H, ~ f(x) \in {\mathcal{A}},  $ is defined by $ x_{\mu } \triangleright f(x) = x_{\mu } f(x), ~
p_{\mu } \triangleright f(x) = -i \partial f(x) / \partial x^{\mu }   $ 