====== Translation Group ======

<tabbox Intuitive> 

<note tip>
Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party.
</note>
  
<tabbox Concrete> 

The group of translations is always equivalent to the space we are considering. So if we are dealing with objects in $\mathbb{R}^3$ the translation group is $\mathbb{R}^3$. If we consider objects in Minkowski space $\mathbb{R}^{3,1}$, the group of translations is $\mathbb{R}^{3,1}$.

{{ :advanced_tools:group_theory:translation_operator.png?nolink |}}
 
<tabbox Abstract> 

<note tip>
The motto in this section is: //the higher the level of abstraction, the better//.
</note>

<tabbox Why is it interesting?>   



</tabbox>